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IF the ratio of the roots of `x^2+bx +c=0` and `x^2 + qx+r=0` are the same , then

A

`r^2c=qb^2`

B

`r^2 b= qc^2`

C

` rb^2 = cq^2`

D

`rc^2 =bq^2`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
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  2. If the roots of the equation ax^2+bx +c=0 be the square roots of...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

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  20. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

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