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If the roots of the equation x^2+kx +...

If the roots of the equation `x^2+kx +64 =0` and `x^2 - 8x + k =0 k gt 0` are real then K=

A

8

B

12

C

16

D

24

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If a in Z and the equation (x-a)(x-10) +1=0 has integral root...

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  2. IF in R and the equation -3(x-[x]) +a^2 =0 ( where [x] denotes ...

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  3. If the roots of the equation x^2+kx +64 =0 and x^2 - 8x + k =0 k...

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  4. IF the roots of the equation ax ^2 +bx + c=0 are real and disti...

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  5. If the roots of ax ^2 + bx +c=0 are both positve , then

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  6. IF the roots of ax^2 +bx +c=0 are both negative and b < 0 then

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  7. IF the roots of ax^2+bx +c=0 are equal in magnitude but opposit...

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  8. if P , q, r are positive and are in A.P the roots of the quadrativ...

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  9. IF (1+k) tan ^2 x-4 tan x -1 + k=0 has real roots tan x1 and ...

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  10. IF 0 < a<b<c and the roots alpha , beta of the equation ax ...

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  11. if 0 < a < b> 0 nad c > 0 then both the roots of the equation 2...

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  12. IF p,q,in { 1,2,3.4} the number of equation of the form px^2 +q...

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  13. If the equation x^2 -2mx+7m-12 =0 has equal roots then m=

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  14. IF the roots of (3m +1) x^2 +2(m+1) x+m =0 are equal then m=

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  15. IF the roots of x^2-2(5 + 2k ) x+ 3 (7+10k) are equal then ...

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  16. If the quadratic expression x^2 -(a-1) x+ (a+ (1)/(4) ) will be...

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  17. IF (x-a)(x-b) +(x-b) (x-c) +(x-a)(x-c) =0 has equal roots then ...

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  18. If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac...

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  19. The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are

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  20. The roots of the equation a ( b-c) x^2 -b(c-a) x+c(a-b)=0 are

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