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The condition that a root of ax^2+bx ...

The condition that a root of `ax^2+bx +c=0` may be the reciprocal of a root of `a_1 x^2+b_1x +c_1=0` is

A

`(a a_1 -c c _1)^2 (ab_1+bc _1 )(a_1b +b_1c)`

B

`(a a _1 -c c _1 )^2 =(ab_1-bc_1)(a_1b -b _1c)`

C

`(a a _1 - b b _1)^2 =(ac _1 -bc _1)`

D

none

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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