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If alpha, beta are the roots of the qua...

If `alpha, beta ` are the roots of the quadratic equation `x ^(2)+ px+q=0 and gamma, delta` are the roots of `x ^(2)+px-r =0` then `(alpha- gamma ) (alpha -delta )` is equal to :

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The correct Answer is:
`-(q+r)`
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RESONANCE-EQUATIONS -EXERCISE-1 (PART -1: PRE RMO)
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  3. If alpha, beta are the roots of the quadratic equation x ^(2)+ px+q=0...

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  4. Each root of the equation ax^2 + bx + c = 0 is decreased by 1. The qua...

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  5. x,y,z are distinct real numbers such that x+1/y = y + 1/z =z + 1/x Th...

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  9. The value of root(3)(5+2sqrt(13)) + root(3)(5-2sqrt(13)) is= ……………..

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  11. The combined age of a man and his wife is six times the combined ages ...

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  12. If (x+1)^(2) =x, the value of 11x^(3) + 8x^(2) + 8x -2 is:

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  13. If one root of sqrt(a-x) + sqrt(b+x) = sqrt(a) + sqrt(b) is 2012, th...

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  14. a and b are the roots of the quadratic equation x^2 + lambdax - 1/(2la...

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  15. The remainder obtained when the polynomial x+x^(3)+x^(9)+x^(27)+x^(81)...

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  16. If x, y are positive real numbers satisfying the system of equations x...

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  17. If a, b, c are positive integers such that a^2+ 2b^2-2ab = 169 and 2bc...

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  18. P = 2008^(2007) - 2008, Q = 2008^(2) + 2009. The remainder when P is d...

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  19. The number of integer values of a for which x^2+ 3ax + 2009 = 0 has tw...

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  20. The sum of the fourth powers of the roots of the equation x^(3)- x^(2)...

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