IF the roots of the equation ax^2+bx+c=0...

IF the roots of the equation `ax^2+bx+c=0` be `alpha` and `beta`, find the equation whose equals are `1/alpha+1`and`1/beta+1`.

Text Solution

Verified by Experts

The correct Answer is:

`cx^2+(b-2c)x+c+a-b=0`

Topper's Solved these Questions

QUADRATIC EQUATIONS
CHHAYA PUBLICATION|Exercise EXERCISE 5A(Long Answer type question)|56 Videos
QUADRATIC EQUATIONS
CHHAYA PUBLICATION|Exercise EXERCISE 5B(Multiple Choice type question)|5 Videos
QUADRATIC EQUATIONS
CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos
PROPERTIES OF TRIANGLE
CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos
QUESTION PAPER -2018
CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation ax^2+bx+c=0 be alpha and beta , find the equation whose roots are alpha+alpha^2/beta and beta+beta^2/alpha

If the roots of the equation ax^2-bx+a=0 be alpha and beta , show that the equation with roots alpha^2+1 and beta^2+1 will be a^2x^2-b^2x+b^2=0

The roots of the equation x^2+3x+4=0 are alpha and beta .Form the equations whose roots are (alpha+beta)^2 and (alpha-beta)^2

IF alpha and beta be the roots of the equation x^2-4x+10=0 , find the equation whose roots are alpha/(1+beta) and beta/(1+alpha) .

IF the roots of the equation 3x^2+8x+2=0 are alpha,beta then (1/alpha+1/beta) =

If the roots of the equation ax^2+bx+c=0 are alpha , beta and the roots of the equation Ax^2+Bx+C=0 are (alpha+delta) and (beta+delta) then show that (b^2-4ac)/a^2=(B^2-4AC)/A^2

If alphaandbeta be the roots of the quadratic equation ax^(2)+bx+c=0 , then find the quadratic equation whose roots are ((1)/(alpha)+1)and((1)/(beta)+1) .

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^2 + beta^2

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^3 + beta^3

IF alpha and beta are the roots of the equation x(2x-1)=1, find the value of alpha^2-beta^2 and form the equation whose roots are 2alpha-1 and 2beta-1

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Short answer type question)

If the roots of the equation ax^2+bx+c=0 be alpha and beta, find the e...
Text Solution
|
IF alpha,beta be the roots of the equation x^2+px+q=0, show that 1/(a...
Text Solution
|
IF the roots of the equation ax^2+bx+c=0 be alpha and beta, find the e...
Text Solution
|
Form the quadratic equation whose roots alpha and beta satisfy the rel...
Text Solution
|
Form the quadratic equation whose roots are the squares of the roots o...
Text Solution
|
Form the quadratic equation whose roots are reciprocals of the roots o...
Text Solution
|
IF 3a^2=4a-5and 3b^2=4b-5 where ane b, find the value of a^2+b^2.
Text Solution
|
IF 3p^2=5p+2and 3q^2=5q+2 where pne q , obtain the equation whose root...
Text Solution
|
IF alpha and beta be the roots of the equation x^2-4x+10=0, find the e...
Text Solution
|
If p and q are the roots of the equation 3x^2+6x+2=0, show that the eq...
Text Solution
|
If the sum of the roots of a quadratic equation is 2 and the sum of th...
Text Solution
|
If the sum of the roots of the equation x^2-px+q=0 be three times thei...
Text Solution
|
If the roots of the equation ax^2+bx+c=0 are in the ratio 3:4 show tha...
Text Solution
|
If one root of the equation x^2+(5a+2)x+5a+2=0 is five times the other...
Text Solution
|
Find the quadratic equation whose roots are the cubes of the roots of ...
Text Solution
|
The ratio of the roots of the equation ax^2+bx+c=0is r:1 Prove that, b...
Text Solution
|
If the roots of the equation px^2+rx+r=0 are in the ratio a:b, prove t...
Text Solution
|
In a quadratic equation of the form x^2+mx+n=0 the constant term is mi...
Text Solution
|
For what value of m the roots of the equation (m+1)x^2+2(m+3)x+m+8=0 a...
Text Solution
|
If one root of the equation x^2+bx+8=0 be 4 and the roots of the equat...
Text Solution
|