Maths-
General
Easy
Question
If
have a common factor then 'a' is equal to
- 24
- 1
- 2
- 12
Hint:
In this question we will assume the common root to be 
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
Related Questions to study
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
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
have
Or
Using conservation of energy, we have
Where compression in the spring
Or
Maths-
If 
then ascending order of A, B, C.
If then ascending order of A, B, C.
Maths-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 =
Now, the remaining five digits can be written using two digits 1 and 3 in
ways.
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 =
Now by using the formula
, we get
Total number of seven digit number =
We know that the factorial can be written by the formula n! = n
(n-1)! , so we get
Total number of seven digit number =
Total number of seven digit number =
Simplifying the expression, we get
Total number of seven digit number =
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.
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 =
Now, the remaining five digits can be written using two digits 1 and 3 in
ways.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 =
Now by using the formula
, we getTotal number of seven digit number =
We know that the factorial can be written by the formula n! = n
(n-1)! , so we getTotal number of seven digit number =
Total number of seven digit number =
Simplifying the expression, we get
Total number of seven digit number =
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 =
Now, the remaining five digits can be written using two digits 1 and 3 inways.
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 =
Now by using the formula
, we get
Total number of seven digit number =
We know that the factorial can be written by the formula n! = n(n-1)! , so we get
Total number of seven digit number =
Total number of seven digit number =
Simplifying the expression, we get
Total number of seven digit number =
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.
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 =
Now, the remaining five digits can be written using two digits 1 and 3 in
ways.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 =
Now by using the formula
, we getTotal number of seven digit number =
We know that the factorial can be written by the formula n! = n
(n-1)! , so we getTotal number of seven digit number =
Total number of seven digit number =
Simplifying the expression, we get
Total number of seven digit number =
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.
Maths-
The centre and radius of the circle 
are respectively
The centre and radius of the circle are respectively
Maths-General
maths-
The centre of the circle 
is
The centre of the circle is
maths-General
maths-
The equation of the circle with centre at 
, which passes through the point 
is
The equation of the circle with centre at , which passes through the point is
maths-General
maths-
The foot of the perpendicular from 
on the line 
is
The foot of the perpendicular from on the line is
maths-General
maths-
The foot of the perpendicular from the pole on the line 
is
The foot of the perpendicular from the pole on the line is
maths-General
maths-
The equation of the line parallel to 
and passing through 
is
The equation of the line parallel to and passing through is
maths-General
Maths-
The line passing through the points , (3,0) is
The line passing through the points , (3,0) is
Maths-General
Maths-
Statement-I : If 
then A=
Statement-II : If 
then 
Which of the above statements is true
Statement-I : If then A=
statement 1 is true.
Statement-II : If then
statement 2 is false.
then A=statement 1 is true.
Statement-II : If
then statement 2 is false.
Statement-I : If then A=
Statement-II : If then
Which of the above statements is true
Maths-General
Statement-I : If then A=
statement 1 is true.
Statement-II : If then
statement 2 is false.
then A=statement 1 is true.
Statement-II : If
then statement 2 is false.
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
Maths-
If 
be that roots 
where 
, such that 
and 
then the number of integral solutions of λ is
If be that roots where , such that and then the number of integral solutions of λ is
Maths-General
Maths-
If α,β then the equation
with roots 
will be
If α,β then the equation with roots will be
Maths-General
maths-
The equation of the directrix of the conic 
is
The equation of the directrix of the conic is
maths-General
