If alpha , beta are roots of ax^(3) +b...

If ` alpha , beta` are roots of ` ax^(3) +bx +c=0` then the equation ` ax^(2)-bx(x-1) +c(x-1)^(2)=0` has roots

`(alpha )/( 1- alpha ) , (beta )/( 1-beta ) `

`(1-alpha )/( alpha ) , ( beta)/(1-beta ) `

`(alpha )/(1+alpha ) , ( beta )/(a+ beta ) `

`(alpha + 1)/( alpha ) , ( beta +1)/(beta )`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise Numerical value type of JEE Main|15 Videos
QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise JEE Main ( Archive )|20 Videos
QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos
PROPERTIES OF TRIANGLE
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
QUIZ
VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of the equation ax^(2) -bx +c=0 then equation (a+cy)^(2) =b^(2) y has the roots

if alpha&beta are the roots of the quadratic equation ax^2 + bx + c = 0 , then the quadratic equation ax^2-bx(x-1)+c(x-1)^2 =0 has roots

If alpha , beta , gamma are the roots of the equation 9x^(3)-7x+6=0 then the equation x^(3)+Ax^(2)+Bx+C=0 has roots 3alpha+2 , 3beta+2 , 3gamma+2 , where

If alpha, beta are the roots of x^(2) + bx-c = 0 , then the equation whose roots are b and c is

If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation with roots (1)/(aalpha+b), (1)/(abeta+b) is

Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation whose roots are (alpha-1)/(alpha), (beta-1)/(beta) is c(1-x)^(2)+ b(1-x)+a=0 Reason (R): If alpha, beta are the roots of f(x) = 0 then the equation whose roots are (alpha-1)/(alpha) and (beta-1)/(beta) is f((1)/(1-x))=0

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

If alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha^8 beta ^5=

If alpha , beta are the roots of ax^2+bx +c=0 then (a alpha + b)^(-2)+( a beta + b)^(-2) =

If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the equation whose roots are 2alpha + 3beta and 3alpha + 2beta is

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -LEVEL -2

Let alpha ,beta " be the roots of " ax^(2) +bx + c= 0, gamma, detla ...
Text Solution
|
If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...
Text Solution
|
If alpha , beta are roots of ax^(3) +bx +c=0 then the equation ax^...
Text Solution
|
If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are
Text Solution
|
The polynomiaal (a x^2+b x+c)(a x^2-dx-c), a c!=0 has
Text Solution
|
If the equation ax^(2)+2bx-3c=0 has no real roots and ((3c)/(4))lta+b,...
Text Solution
|
If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...
Text Solution
|
If alpha and beta(alpha lt beta) are the roots of the equation x^(2)+b...
Text Solution
|
The number of real solutions of the equation (9//10)^x=-3+x-x^2 is
Text Solution
|
If the roots of a1x^(2)+b1x+c1=0 and alpha1 , beta1 and those of a2...
Text Solution
|
If b^2>4ac, then a(x^2 +4x+4)^2+b(x^2 +4x +4)+c=0 has distinct real ...
Text Solution
|
If ( lambda^(2) + lambda - 2)x^(2)+(lambda+2)x lt 1 for all x in R ,...
Text Solution
|
The value of k for which the equation (k-2) x^(2) + 8x + k + 4 = 0 has...
Text Solution
|
For all x in R if mx^(2) - 9mx + 5m + 1 gt 0 , then m lies in the in...
Text Solution
|
The quadratic equations x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""...
Text Solution
|
If roots of ax^2+bx+c=0 are equal in magnitude but opposite in sign, t...
Text Solution
|
If alpha ne beta but alpha^(2)= 5 alpha - 3 and beta ^(2)= 5 beta...
Text Solution
|
lf 0 < a < b < c < d, then the quadratic equation ax^2 + ...
Text Solution
|
If alpha,beta are the roots of the equation ax^2 + bx +c=0 such that b...
Text Solution
|
If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, t...
Text Solution
|