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IF the sum of the roots of the equat...

IF the sum of the roots of the equation `x^2+px +q=0` is 3 times their difference , then

A

`2p^2=q`

B

`2p^2=5q`

C

`p^2=3q`

D

`2p^2=9q`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The condition that a root of ax^2+bx +c=0 may be the reciprocal ...

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

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

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

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

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  6. If the ratio of the roots of a(x)^2+bx +c=0 is same as that of the...

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  7. The value of m for which one of the roots of x^2-3x+2m=0 is doub...

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  8. IF the difference of the roots of x^2-bx+c=0 is equal to the dif...

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  9. The condition that the roots of the equation ax^2+bx+c=0 may diffe...

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  10. The condition that sin theta cos theta may be the roots o...

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  11. If sin alpha and cos alpha are the roots of 25 x ^2 +5x-12=0, t...

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  12. IF tan A and tan B are the roots of the quadratic x^2 -px+q=0...

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  13. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

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  14. In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/...

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  15. If one root of x^2+px +1=0 is the cube of the other root, then ...

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  16. IF one root of ax ^2 +bx +c=0 is equal to nth power of the othe...

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  17. IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

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  18. IF the roots of (1) /(x +a) + (1)/(x +b)=(1)/(c ) are equal in ...

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  19. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

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  20. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

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