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If alpha, beta are the roots of x^(2)-px...

If `alpha, beta` are the roots of `x^(2)-px +1=0` and `gamma` is a root of `x^(2)+px+1=0`, then `(alpha+gamma)(beta+gamma)` is

A

0

B

1

C

`-1`

D

p

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The correct Answer is:
a
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MTG-WBJEE-QUADRATIC EQUATIONS -WB JEE Previous Years Questions ( Single Option Correct Type)
  1. If alpha, beta are the roots of the quadratic equation ax^(2)+bx +c=0 ...

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  2. If alpha, beta are the roots of the quadratic equation x^(2)+px +q=0,...

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  3. Let p, q be real numbers. If alpha is the root of x^(2) +3p^(2)x+5q^...

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  4. If alpha, beta are the roots of ax^(2)+bx+c=0 (a ne 0) and alpha+h,...

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  5. The number of solution(s) of the equation sqrt(x+1)-sqrt(x-1) = sqrt(...

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  6. If alpha, beta are the roots of x^(2)-px +1=0 and gamma is a root of x...

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  7. The quadratic expression (2x+1)^(2)-px +q ne 0 for any real x if

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  8. Given that x is a real number satisfying (5x^(2)-26x+5)/(3x^(2)-10x+3...

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  9. Let x(1), x(2), …, x(15) be 15 distinct numbers chosen from 1, 2, 3, …...

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  10. Let P(x) be a polynomial, which when divided by x - 3 and x - 5 leave...

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  11. If p, q are the roots of the equation x^(2)+px +q=0, then

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  12. The number of values of k for which the equation x^(2) -3x +k=0 has t...

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  13. If p, q are odd integers, then the roots of the equation 2px^(2) +(2p...

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  14. If b(1)b(2)=2(c(1)+c(2)) and b(1), b(2), c(1), c(2) are all real numbe...

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  15. Let a, b, c be real numbers such that a+b+c lt 0 and the quadratic eq...

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  16. Let alpha, beta be two distinct roots of a cos theta+b sin theta =c, ...

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  17. If alpha and beta are roots of ax^(2)+bx+c=0 then the equation whos...

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  18. For real x, the greatest value of (x^(2)+2x+4)/(2x^(2)+4x+9) is

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  19. Let f(x)=x^(4)-4x^(3)+4x^(2)+c, c in R. Then

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  20. The graphs of the polynomial x^(2)-1 and cos x intersect

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