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

If ` alpha, beta` are the roots of the equation ` ax^(2) +2bx +c =0 and alpha +h, beta + h` are the roots of the equation ` Ax^(2) +2Bx + C=0` then

A

`(b^(2)- ac )/( B^(2) - AC) = (a)/(A)`

B

`b^(2) - ac = b^(2) - AC`

C

`h = (bA - aB)/( 2 A a)`

D

`h = (ac + aC)/( A a + B b)`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
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  10. The number of values of k for which the equation x^(2) - 2x + k = 0 ha...

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  11. If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (a...

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  12. Let x be an integer and x^2 + x + 1 is divisible by 3. When is x divid...

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  14. If both the roots of the equation x^(2) + bx + c = 0 lie in the interv...

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  15. Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c g...

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  16. Find the valuesof m for which exactly one root of the equation x^(2)-2...

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  17. The value of sqrt(8 + 2 sqrt(8 + 2 sqrt(8 + 2 sqrt(8 + . . . . )))) i...

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  19. The number of solutions of |x+2| = 2(3 - x) is

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