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The equation whose roots are the art...

The equation whose roots are the arthmatic mean and twice the H.M between the roots of the equation `x^2 + ax -b=0` is

A

`x^(2)-bx+a=0`

B

`2ax^(2)-a^(2)x+4b=0`

C

`2ax^(2)+ (a^(2)-8b)x-4ab=0`

D

`2ax^(2)-8bx-4ab=0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  3. The equation whose roots are the arthmatic mean and twice the ...

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  4. If alpha, beta are the roots of the equation x^(2)+7x+12=0, then the e...

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  5. If a(5+q^(2))+2bq+c=0 and a(5+r^(2))+2br+c=0 where a ne 0 then q + r =

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  6. If alpha, beta are the roots of x^(2)-2x+4 = 0 and for any n in N, a...

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  7. If A, B, C, D are the sum of the square of the roots of 2x^(2) + x- 3=...

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  8. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

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  9. alpha,beta are the real roots of ax^(2) + bx + c = 0 observe the follo...

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  10. If x^(2) + px + q = 0 is the quadratic equation whose roots are a-2 an...

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  11. If alpha, beta are the roots of x^(2) + x + 1 = 0, then the equation w...

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  12. If omega is an imaginary cube root of unity then the equation whose ro...

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  13. The equation whose roots are half of roots of the equation 2x^(2) + 5x...

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  14. Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 th...

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

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

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  17. Number of quadratic equations which are unchanged by squaring their ro...

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  18. 3+4i is a root of x^(2) + Ax + B = 0 and sqrt(3) -2 is a root of x^(2)...

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  19. If the ratio of the roots of x^(2) + bx + c = 0 is equal to the ratio ...

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  20. If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

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