Home
Class 12
MATHS
If alpha, beta are real and alpha^2,-bet...

If `alpha, beta` are real and `alpha^2,-beta^2` are the roots of the equation `a^2x^2+x+(1-a^2)=0(a > 1),` then `beta^2`

A

`a^(2)`

B

`1 - (1)/(a^(2))`

C

`1 - a^(2)`

D

`1 + a^(2) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL-II)|61 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha^(2009)+beta^(2009)=

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

If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 = 0 ,then alpha^(3) + beta^(3) + gamma^(3) =

If alpha, beta and gamma are the roots of the equation x^(3)-8x+8=0 , then sum alpha^(2) and sum (1)/(alpha beta) are respectively

If alpha and beta are the roots of the equation ax^2 + bx +c =0 (a != 0; a, b,c being different), then (1+ alpha + alpha^2) (1+ beta+ beta^2) =

If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and gamma, delta are the roots of the equation x^(2)-2(a+1)x+a(a-1)=0 such that alpha, beta epsilonn (gamma, delta) find the value of a .

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

If alpha and beta are the roots of the equation x^(2) - p(x + 1) - q = 0 , then the value of : (alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q) is :

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is