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The condition that one root of ax ^2...

The condition that one root of `ax ^2+bx +c=0` may be n times the other root is

A

`nb^2 = ac (n+1)`

B

`nb^2=ac(n+1)^2`

C

`nb=ac (n+1)`

D

`nb=ac(n+1)^2`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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