Maths-
General
Easy

Question

Ifx squared minus 11 x plus a text  and  end text x squared minus 14 x plus 2 a have a common factor then 'a' is equal to

  1. 24
  2. 1
  3. 2
  4. 12

Hint:

In this question we will assume the common root to be alpha and so both the equation will be equal using that root in both the equation, so, using this equation we will find the common root. Later putting that root in any one equation we can find the value of a.

The correct answer is: 24


    l e t space alpha space s a t i s f y space b o t h space t h e space e q u a t i o n. space
alpha squared minus 11 alpha plus a equals 0
alpha squared minus 14 alpha plus 2 a equals 0

space space space space fraction numerator alpha squared over denominator negative 22 a minus left parenthesis negative 14 a right parenthesis end fraction equals fraction numerator a over denominator a minus 2 a end fraction equals fraction numerator 1 over denominator negative 14 minus left parenthesis negative 11 right parenthesis end fraction
rightwards double arrow fraction numerator alpha squared over denominator negative 8 a end fraction equals fraction numerator alpha over denominator negative a end fraction
rightwards double arrow alpha equals 8
P u t t i n g space t h e space v a l u e space o f space alpha space i n space t h e space e q u a t i o n comma space w e space g e t colon
alpha squared minus 11 alpha plus a equals 0
rightwards double arrow 8 squared minus 11 cross times 8 plus a equals 0
rightwards double arrow 64 minus 88 plus a equals 0
rightwards double arrow a equals 24

    Related Questions to study

    General
    physics-

    A block C of mass is moving with velocity and collides elastically with block of mass  and connected to another block of mass  through spring constant .What is  if  is compression of spring when velocity of  is same ?

    Using conservation of linear momentum, we
    have

    Or
    Using conservation of energy, we have

    Where  compression in the spring

    Or

    A block C of mass is moving with velocity and collides elastically with block of mass  and connected to another block of mass  through spring constant .What is  if  is compression of spring when velocity of  is same ?

    physics-General
    Using conservation of linear momentum, we
    have

    Or
    Using conservation of energy, we have

    Where  compression in the spring

    Or
    General
    Maths-

    If fraction numerator 1 over denominator left parenthesis 1 plus 2 x right parenthesis open parentheses 1 minus x squared close parentheses end fraction equals fraction numerator A over denominator 1 plus 2 x end fraction plus fraction numerator B over denominator 1 plus x end fraction plus fraction numerator C over denominator 1 minus x end fraction then ascending order of A, B, C.

    space space space fraction numerator 1 over denominator left parenthesis 1 plus 2 x right parenthesis open parentheses 1 minus x squared close parentheses end fraction equals fraction numerator A over denominator 1 plus 2 x end fraction plus fraction numerator B over denominator 1 plus x end fraction plus fraction numerator C over denominator 1 minus x end fraction
rightwards double arrow A left parenthesis 1 minus x squared right parenthesis plus B left parenthesis 1 plus 2 x right parenthesis left parenthesis 1 minus x right parenthesis plus C left parenthesis 1 plus 2 x right parenthesis left parenthesis 1 plus x right parenthesis equals 1
rightwards double arrow A minus A x squared plus B plus B x minus 2 x squared B plus C plus 3 x C plus 2 x squared C equals 1
rightwards double arrow x squared left parenthesis 2 C minus 2 B minus A right parenthesis plus x open parentheses B plus 3 C close parentheses plus open parentheses A plus B plus C close parentheses equals 1
rightwards double arrow A plus B plus C equals 1 space o r space 2 C minus 2 B minus A equals 0 space o r space B plus 3 C equals 0

space space space space space B plus 3 C equals 0
rightwards double arrow B equals negative 3 C

space space space space A plus B plus C equals 1
rightwards double arrow A minus 3 C plus C equals 1
rightwards double arrow A minus 2 C equals 1
rightwards double arrow A equals 1 plus 2 C

space space space space space 2 C minus 2 B minus A equals 0
rightwards double arrow 2 C minus 2 left parenthesis negative 3 C right parenthesis minus left parenthesis 1 plus 2 C right parenthesis equals 0
rightwards double arrow 2 C plus 6 C minus 1 minus 2 C equals 0
rightwards double arrow 6 C equals 1
rightwards double arrow C equals 1 over 6

A equals 1 plus 2 cross times 1 over 6 equals 1 plus 1 third equals 4 over 3

B equals negative 3 C equals negative 3 cross times 1 over 6 equals fraction numerator negative 1 over denominator 2 end fraction

S o comma space v a l u e s space i n space a s s c e n d i n g space o r d e r space i s space B comma space C comma space A.

    If fraction numerator 1 over denominator left parenthesis 1 plus 2 x right parenthesis open parentheses 1 minus x squared close parentheses end fraction equals fraction numerator A over denominator 1 plus 2 x end fraction plus fraction numerator B over denominator 1 plus x end fraction plus fraction numerator C over denominator 1 minus x end fraction then ascending order of A, B, C.

    Maths-General
    space space space fraction numerator 1 over denominator left parenthesis 1 plus 2 x right parenthesis open parentheses 1 minus x squared close parentheses end fraction equals fraction numerator A over denominator 1 plus 2 x end fraction plus fraction numerator B over denominator 1 plus x end fraction plus fraction numerator C over denominator 1 minus x end fraction
rightwards double arrow A left parenthesis 1 minus x squared right parenthesis plus B left parenthesis 1 plus 2 x right parenthesis left parenthesis 1 minus x right parenthesis plus C left parenthesis 1 plus 2 x right parenthesis left parenthesis 1 plus x right parenthesis equals 1
rightwards double arrow A minus A x squared plus B plus B x minus 2 x squared B plus C plus 3 x C plus 2 x squared C equals 1
rightwards double arrow x squared left parenthesis 2 C minus 2 B minus A right parenthesis plus x open parentheses B plus 3 C close parentheses plus open parentheses A plus B plus C close parentheses equals 1
rightwards double arrow A plus B plus C equals 1 space o r space 2 C minus 2 B minus A equals 0 space o r space B plus 3 C equals 0

space space space space space B plus 3 C equals 0
rightwards double arrow B equals negative 3 C

space space space space A plus B plus C equals 1
rightwards double arrow A minus 3 C plus C equals 1
rightwards double arrow A minus 2 C equals 1
rightwards double arrow A equals 1 plus 2 C

space space space space space 2 C minus 2 B minus A equals 0
rightwards double arrow 2 C minus 2 left parenthesis negative 3 C right parenthesis minus left parenthesis 1 plus 2 C right parenthesis equals 0
rightwards double arrow 2 C plus 6 C minus 1 minus 2 C equals 0
rightwards double arrow 6 C equals 1
rightwards double arrow C equals 1 over 6

A equals 1 plus 2 cross times 1 over 6 equals 1 plus 1 third equals 4 over 3

B equals negative 3 C equals negative 3 cross times 1 over 6 equals fraction numerator negative 1 over denominator 2 end fraction

S o comma space v a l u e s space i n space a s s c e n d i n g space o r d e r space i s space B comma space C comma space A.
    General
    Maths-

    The number of different seven digit numbers that can be written using only the three digits 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is-

    Complete step by step solution:
    We are given the number of different seven-digit numbers that can be written using only three digits 1,2 and 3. Therefore,
    Total number of Digits  = 7

    We are given that the digit two occurs exactly twice in each number.
    Thus, the digit two occurs twice in the seven digit number.
    Now, we will find the number of ways of arrangement of the digit two in the seven digit number by using combination.
    Total number of ways that the digit two occurs exactly twice in each number =C presuperscript 7 subscript 2

    Now, the remaining five digits can be written using two digits 1 and 3 in 2 to the power of 5ways.
    We will now find the total number of seven digit number by multiplying the number of ways of arrangement in both the cases. Therefore
    Total number of seven digit number = C presuperscript 7 subscript 2 space cross times space 2 to the power of 5
    Now by using the formula 
    C presuperscript n subscript r space equals space begin inline style fraction numerator n factorial over denominator r factorial space left parenthesis n minus r right parenthesis factorial end fraction end style end subscript , we get
     Total number of seven digit number = fraction numerator 7 factorial over denominator left parenthesis 7 minus 2 right parenthesis factorial space 2 factorial end fraction cross times space 2 to the power of 5
    We know that the factorial can be written by the formula  n! = ncross times(n-1)! , so we get
    Total number of seven digit number = fraction numerator 7 space cross times 6 cross times 5 factorial over denominator 5 factorial space 2 factorial end fraction cross times 2 to the power of 5
    Total number of seven digit number  = fraction numerator 7 space cross times 6 over denominator 2 factorial end fraction cross times 2 to the power of 5
    Simplifying the expression, we get
    Total number of seven digit number  = 7 cross times 6 cross times 2 to the power of 4

    Multiplying the terms, we get
    Total number of seven digit number  672
    Therefore, the number of different seven-digit numbers that can be written using only three digits 1,2 and 3 is 672.

     

    The number of different seven digit numbers that can be written using only the three digits 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is-

    Maths-General
    Complete step by step solution:
    We are given the number of different seven-digit numbers that can be written using only three digits 1,2 and 3. Therefore,
    Total number of Digits  = 7

    We are given that the digit two occurs exactly twice in each number.
    Thus, the digit two occurs twice in the seven digit number.
    Now, we will find the number of ways of arrangement of the digit two in the seven digit number by using combination.
    Total number of ways that the digit two occurs exactly twice in each number =C presuperscript 7 subscript 2

    Now, the remaining five digits can be written using two digits 1 and 3 in 2 to the power of 5ways.
    We will now find the total number of seven digit number by multiplying the number of ways of arrangement in both the cases. Therefore
    Total number of seven digit number = C presuperscript 7 subscript 2 space cross times space 2 to the power of 5
    Now by using the formula 
    C presuperscript n subscript r space equals space begin inline style fraction numerator n factorial over denominator r factorial space left parenthesis n minus r right parenthesis factorial end fraction end style end subscript , we get
     Total number of seven digit number = fraction numerator 7 factorial over denominator left parenthesis 7 minus 2 right parenthesis factorial space 2 factorial end fraction cross times space 2 to the power of 5
    We know that the factorial can be written by the formula  n! = ncross times(n-1)! , so we get
    Total number of seven digit number = fraction numerator 7 space cross times 6 cross times 5 factorial over denominator 5 factorial space 2 factorial end fraction cross times 2 to the power of 5
    Total number of seven digit number  = fraction numerator 7 space cross times 6 over denominator 2 factorial end fraction cross times 2 to the power of 5
    Simplifying the expression, we get
    Total number of seven digit number  = 7 cross times 6 cross times 2 to the power of 4

    Multiplying the terms, we get
    Total number of seven digit number  672
    Therefore, the number of different seven-digit numbers that can be written using only three digits 1,2 and 3 is 672.

     
    parallel
    General
    Maths-

    The centre and radius of the circle r equals c o s space theta minus s i n space theta are respectively

    The centre and radius of the circle r equals c o s space theta minus s i n space theta are respectively

    Maths-General
    General
    maths-

    The centre of the circle r squared minus 2 r left parenthesis 3 c o s space theta plus 4 s i n space theta right parenthesis minus 24 is

    The centre of the circle r squared minus 2 r left parenthesis 3 c o s space theta plus 4 s i n space theta right parenthesis minus 24 is

    maths-General
    General
    maths-

    The equation of the circle with centre at open parentheses 1 comma 0 to the power of 0 end exponent close parentheses, which passes through the point open parentheses 0 comma fraction numerator pi over denominator 2 end fraction close parentheses is

    The equation of the circle with centre at open parentheses 1 comma 0 to the power of 0 end exponent close parentheses, which passes through the point open parentheses 0 comma fraction numerator pi over denominator 2 end fraction close parentheses is

    maths-General
    parallel
    General
    maths-

    The foot of the perpendicular from left parenthesis negative 1 comma pi divided by 6 right parenthesis on the line r left parenthesis 3 s i n space theta plus square root of 3 c o s space theta right parenthesis equals 3 is

    The foot of the perpendicular from left parenthesis negative 1 comma pi divided by 6 right parenthesis on the line r left parenthesis 3 s i n space theta plus square root of 3 c o s space theta right parenthesis equals 3 is

    maths-General
    General
    maths-

    The foot of the perpendicular from the pole on the line r left parenthesis c o s space theta plus square root of 3 s i n space theta right parenthesis equals 2 is

    The foot of the perpendicular from the pole on the line r left parenthesis c o s space theta plus square root of 3 s i n space theta right parenthesis equals 2 is

    maths-General
    General
    maths-

    The equation of the line parallel to r left square bracket 3 C o s space theta plus 2 S i n space theta right square bracket equals 5 and passing through open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses is

    The equation of the line parallel to r left square bracket 3 C o s space theta plus 2 S i n space theta right square bracket equals 5 and passing through open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses is

    maths-General
    parallel
    General
    Maths-

    The line passing through the points open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses, (3,0) is

    The line passing through the points open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses, (3,0) is

    Maths-General
    General
    Maths-

    Statement-I : If fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction then A=7 over 4
    Statement-II : If fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction then p equals 2 comma q equals 3

    Which of the above statements is true

    Statement-I : If fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction then A=7 over 4
    fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator A left parenthesis x plus 1 right parenthesis squared plus B left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis plus C left parenthesis x minus 1 right parenthesis over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator A left parenthesis x squared plus 2 x plus 1 right parenthesis plus B left parenthesis x squared minus 1 right parenthesis plus C x minus C over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator A x squared plus A 2 x plus A plus B x squared minus B plus C x minus C over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator x squared left parenthesis A plus B right parenthesis plus x left parenthesis 2 A plus C right parenthesis plus 1 left parenthesis A minus B minus C right parenthesis over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
N o w comma space o n space c o m p a r i n g space b o t h space s i d e s space comma space
A plus B equals 0 comma space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 2 A plus C equals 3 comma space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space A minus B minus C equals 4
rightwards double arrow A equals negative B space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative 2 B plus C equals 3 space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative B minus B minus C equals 4
p u t t i n g space B equals fraction numerator negative 7 over denominator 4 end fraction space space space space space space space space space space space space space space space space rightwards double arrow space minus 2 B equals 3 minus C space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative 2 B minus C equals 4
rightwards double arrow A equals 7 over 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space p u t t i n g C equals fraction numerator negative 1 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space rightwards double arrow space space space 3 minus C minus C equals 4
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative 2 B equals 3 plus 1 half space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow space space space 3 minus 2 C equals 4
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow B equals fraction numerator negative 7 over denominator 4 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow space C equals fraction numerator negative 1 over denominator 2 end fraction space space space space space space space space
    statement 1 is true.
    Statement-II : If fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction then p equals 2 comma q equals 3  
    fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction
space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 2 x minus 3 right parenthesis plus 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction
space space space space space space space space space space space space space space space space equals fraction numerator 2 x over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction
N o w comma space o n space c o m p a r i n g space b o t h space s i d e s space comma space
p equals 2 space a n d space q equals 0
    statement 2 is false.

    Statement-I : If fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction then A=7 over 4
    Statement-II : If fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction then p equals 2 comma q equals 3

    Which of the above statements is true

    Maths-General
    Statement-I : If fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction then A=7 over 4
    fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator A left parenthesis x plus 1 right parenthesis squared plus B left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis plus C left parenthesis x minus 1 right parenthesis over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator A left parenthesis x squared plus 2 x plus 1 right parenthesis plus B left parenthesis x squared minus 1 right parenthesis plus C x minus C over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator A x squared plus A 2 x plus A plus B x squared minus B plus C x minus C over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator x squared left parenthesis A plus B right parenthesis plus x left parenthesis 2 A plus C right parenthesis plus 1 left parenthesis A minus B minus C right parenthesis over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction
N o w comma space o n space c o m p a r i n g space b o t h space s i d e s space comma space
A plus B equals 0 comma space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 2 A plus C equals 3 comma space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space A minus B minus C equals 4
rightwards double arrow A equals negative B space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative 2 B plus C equals 3 space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative B minus B minus C equals 4
p u t t i n g space B equals fraction numerator negative 7 over denominator 4 end fraction space space space space space space space space space space space space space space space space rightwards double arrow space minus 2 B equals 3 minus C space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative 2 B minus C equals 4
rightwards double arrow A equals 7 over 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space p u t t i n g C equals fraction numerator negative 1 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space rightwards double arrow space space space 3 minus C minus C equals 4
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow negative 2 B equals 3 plus 1 half space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow space space space 3 minus 2 C equals 4
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow B equals fraction numerator negative 7 over denominator 4 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow space C equals fraction numerator negative 1 over denominator 2 end fraction space space space space space space space space
    statement 1 is true.
    Statement-II : If fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction then p equals 2 comma q equals 3  
    fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction
space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 2 x minus 3 right parenthesis plus 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction
space space space space space space space space space space space space space space space space equals fraction numerator 2 x over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction
N o w comma space o n space c o m p a r i n g space b o t h space s i d e s space comma space
p equals 2 space a n d space q equals 0
    statement 2 is false.
    General
    Maths-

    If b > a , then the equation, (x - a) (x - b) - 1 = 0, has:

    If b > a , then the equation, (x - a) (x - b) - 1 = 0, has:

    Maths-General
    parallel
    General
    Maths-

    If alpha comma beta be that roots 4 x squared minus 16 x plus lambda equals 0 where lambda element of R,  such that 1 less than alpha less than 2 and 2 less than beta less than 3 then the number of integral solutions of λ is

    If alpha comma beta be that roots 4 x squared minus 16 x plus lambda equals 0 where lambda element of R,  such that 1 less than alpha less than 2 and 2 less than beta less than 3 then the number of integral solutions of λ is

    Maths-General
    General
    Maths-

    If α,β then the equationx squared minus 3 x plus 1 equals 0 with roots fraction numerator 1 over denominator alpha minus 2 end fraction comma fraction numerator 1 over denominator beta minus 2 end fraction will be

    If α,β then the equationx squared minus 3 x plus 1 equals 0 with roots fraction numerator 1 over denominator alpha minus 2 end fraction comma fraction numerator 1 over denominator beta minus 2 end fraction will be

    Maths-General
    General
    maths-

    The equation of the directrix of the conic 2 equals r left parenthesis 3 plus C o s invisible function application theta right parenthesis is

    The equation of the directrix of the conic 2 equals r left parenthesis 3 plus C o s invisible function application theta right parenthesis is

    maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.