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IF (a alpha + b )^(-2)+ ( abeta + b)...

IF `(a alpha + b )^(-2)+ ( abeta + b)^(-2)` =1 , where `alpha , beta ` are the roots of `a x^2 + bx +c=0` then `ac (ac +2)=`

A

`b^2 //2`

B

`b^3`

C

`2b`

D

`b^2`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
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  2. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

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  3. IF (a alpha + b )^(-2)+ ( abeta + b)^(-2) =1 , where alpha , b...

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  4. IF the equation x^2 +2(k+1)x+9k-5=0 has only negative roots , th...

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  5. All the values of m for which both roots of the equation x^2-...

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  6. The values of a for which of a for which 2x^2-2(2a +1)x+a(a+1) =...

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  7. The value of a for which the equation (1-a ^2)x^2+2ax -1 has roo...

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  8. The value of a for which each one of the roots of x^2-4ax+2a^...

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  9. The value of 'a' for which one root of the quadratric equation ...

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  10. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

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  11. If roots of the equation x^2-bx +c=0 be two consecutive intege...

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  12. p and q are distinct prime numbers and if the equation x^2 -px ...

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  13. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

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  14. If the roots of x^2+x+a=0 exceed , a then

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  15. The roots of 3x^2 + 4x -7=0 are

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  16. The roots of 5x^2 -3x +2=0 are

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  17. The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0are

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  18. IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)...

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  19. For p,q in R, the roots of (p^2+q^2)x^2+2(p+q)x+2=0 are

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  20. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

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