Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

If x, y are rational number such that $x plus y plus left parenthesis x minus 2 y right parenthesis square root of 2 equals 2 x minus y plus left parenthesis x minus y minus 1 right parenthesis square root of 6$ Then

x and y cannot be determined
x = 2, y =1
x = 5, y = 1
none of these

hint Hint:

In this question we have to find the value of x and y. Firstly, we know that as $square root of 2 space a n d space square root of 6$ are linearly independent so its coefficient will be zero. Further we will have two equations, then we will subtract the equation to get the value of y and later substitute in any equation to find the value of a and b.

The correct answer is: x = 2, y =1

$A s space t h e y space a r e space r a t i o n a l space n u m b e r comma space c o f f i c i e n t s space o f space square root of 2 comma square root of 6 s h o u l d space b e space 0. t h u s comma space x minus 2 y equals 0 space space _ _ _ _ space left parenthesis i right parenthesis space a n d space x minus y minus 1 equals 0 space _ _ _ _ _ _ _ left parenthesis i i right parenthesis S u b t r a c t i n g space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t colon rightwards double arrow negative y plus 1 equals 0 rightwards double arrow y equals 1 S u b s t i t u t i n g space v a l u e space o f space y space i n space r q u a t i o n space left parenthesis i right parenthesis comma rightwards double arrow x minus 2 cross times 1 equals 0 rightwards double arrow x equals 2 S o comma space x equals 2 space a n d space y space equals 1.$

Related Questions to study

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is -

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is -

There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is -

There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is -

If a, b, c are the three natural numbers such that a + b + c is divisible by 6, then a³ + b³ + c³ must be divisible by -

If a, b, c are the three natural numbers such that a + b + c is divisible by 6, then a³ + b³ + c³ must be divisible by -

parallel

For x $element of$ R, let [x] denote the greatest integer $less or equal than$ x, then value of $open square brackets negative fraction numerator 1 over denominator 3 end fraction close square brackets$ + $open square brackets negative fraction numerator 1 over denominator 3 end fraction minus fraction numerator 1 over denominator 100 end fraction close square brackets$ + $open square brackets negative fraction numerator 1 over denominator 3 end fraction minus fraction numerator 2 over denominator 100 end fraction close square brackets$ +…+ $open square brackets negative fraction numerator 1 over denominator 3 end fraction minus fraction numerator 99 over denominator 100 end fraction close square brackets$ is -

For x $element of$ R, let [x] denote the greatest integer $less or equal than$ x, then value of $open square brackets negative fraction numerator 1 over denominator 3 end fraction close square brackets$ + $open square brackets negative fraction numerator 1 over denominator 3 end fraction minus fraction numerator 1 over denominator 100 end fraction close square brackets$ + $open square brackets negative fraction numerator 1 over denominator 3 end fraction minus fraction numerator 2 over denominator 100 end fraction close square brackets$ +…+ $open square brackets negative fraction numerator 1 over denominator 3 end fraction minus fraction numerator 99 over denominator 100 end fraction close square brackets$ is -

The number of integral solutions of the equation x + y + z = 24 subjected to conditions that 1 $less or equal than$ x $less or equal than$ 5, 12 $less or equal than$ y $less or equal than$ 18, z $less or equal than$ –1

The number of integral solutions of the equation x + y + z = 24 subjected to conditions that 1 $less or equal than$ x $less or equal than$ 5, 12 $less or equal than$ y $less or equal than$ 18, z $less or equal than$ –1

Ravish write letters to his five friends and address the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes -

Ravish write letters to his five friends and address the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes -

parallel

In how many ways can we get a sum of at most 17 by throwing six distinct dice -

In how many ways can we get a sum of at most 17 by throwing six distinct dice -

The number of non negative integral solutions of equation 3x + y + z = 24

The number of non negative integral solutions of equation 3x + y + z = 24

Sum of divisors of 2⁵·3⁷·5³· 7² is –

Sum of divisors of 2⁵·3⁷·5³· 7² is –

parallel

The length of the perpendicular from the pole to the straight line $fraction numerator 6 square root of 2 over denominator r end fraction equals C o s space theta plus S i n space theta$ is

The length of the perpendicular from the pole to the straight line $fraction numerator 6 square root of 2 over denominator r end fraction equals C o s space theta plus S i n space theta$ is

The condition for the lines $c subscript 1 over r equals a subscript 1 c o s space theta plus b subscript 1 s i n space theta$ and $c subscript 2 over r equals a subscript 2 c o s space theta plus b subscript 2 s i n space theta$ to be perpendicular is

The condition for the lines $c subscript 1 over r equals a subscript 1 c o s space theta plus b subscript 1 s i n space theta$ and $c subscript 2 over r equals a subscript 2 c o s space theta plus b subscript 2 s i n space theta$ to be perpendicular is

If f : R →R; f(x) = sin x + x, then the value of $not stretchy integral subscript 0 end subscript superscript pi end superscript blank$ (f^-1 (x)) dx, is equal to

If f : R →R; f(x) = sin x + x, then the value of $not stretchy integral subscript 0 end subscript superscript pi end superscript blank$ (f^-1 (x)) dx, is equal to

parallel

The polar equation of the straight line with intercepts 'a' and 'b' on the rays $theta equals 0$ and $theta equals fraction numerator pi over denominator 2 end fraction$ respectively is

The polar equation of the straight line with intercepts 'a' and 'b' on the rays $theta equals 0$ and $theta equals fraction numerator pi over denominator 2 end fraction$ respectively is

The polar equation of the straight line parallel to the initial line and at a distance of 4 units above the initial line is

The polar equation of the straight line parallel to the initial line and at a distance of 4 units above the initial line is

The polar equation of $x to the power of 3 end exponent plus y to the power of 3 end exponent equals 3$ axy is

The polar equation of $x to the power of 3 end exponent plus y to the power of 3 end exponent equals 3$ axy is

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.