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The value of a for which the equatio...

The value of a for which the equation `(1-a ^2)x^2+2ax -1` has roots belonging to (0,1) is

A

` a gt (1 + sqrt(5))/(2)`

B

` a gt 2`

C

`(1+ sqrt(5))/(2)lt a lt 2`

D

`a gt sqrt2`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. All the values of m for which both roots of the equation x^2-...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

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

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  18. The roots of (x-a) (x-a -1) +(x-a-1) +(x-a-2) +(x-a) (x-a-2)=0 a in...

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  19. IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

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  20. If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the ro...

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