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IF alpha , beta are the roots of x...

IF ` alpha , beta ` are the roots of `x^2+bx +c=0` and ` alpha + h, beta +h` are the roots of ` x^2+qx +r=0` then h=

A

`b+q`

B

`b-q`

C

`1/2 (b+q)`

D

`1/2 (b-q)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

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  2. If alpha , beta are the roots of a ^2 x + bx +c=0 and alpha + ...

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  3. IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, b...

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  4. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

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  5. The equation whose roots are numerically equal but opposite in ...

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  6. The equation whose roots are multipled by 3 of those of 2x ^2 ...

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  7. The condition that one root of ax ^2+bx +c=0 may be n times th...

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  8. The condition that one root of ax ^2 + bx +c=0 may be the dou...

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  9. If one root of x^2+kx +12 =0 may be the triple the other , then...

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  10. IF one root ofpx^2-14 x + 8 =0 is six times the other then p=

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  11. IF the roots of ax^2+cx+c=0 are in the ratio p:q then sqrt([(p)/(q...

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  12. IF one root of x^2-x-k=0 is square that of the other, then k=………

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  13. If one root of x^2+px+1=0 is square that of the other thenp=

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  14. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

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  15. IF the harmonic mean of the roots of sqrt(2) x^2-bx +(8-2sqrt(5))=...

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  16. The condition that a root of ax^2+bx +c=0 may be the reciprocal ...

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  17. IF the sum of the roots of the quadratic equation ax ^2 + bx ...

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  18. IF the sum of the roots of the equation x^2+px +q=0 is 3 times ...

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  19. If the roots of the equation ax^2+bx +c=0 be the square roots of...

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  20. IF the ratio of the roots of x^2+bx +c=0 and x^2 + qx+r=0 are the...

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