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If one root x^2-x-k=0 is square of the o...

If one root `x^2-x-k=0` is square of the other, then `k=` `2+-sqrt(5)` b. `2+-sqrt(3)` c. `3+-sqrt(2)` d. `5+-sqrt(2)`

A

`2 pm sqrt(3)`

B

`3 pm sqrt(2)`

C

`2 pm sqrt(5)`

D

`5 pm sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
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  3. The number of real solutions of the equation |x|^(2)-3|x|+2=0 is :

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  4. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

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  5. The roots of the equation (p-q) x^(2)+(q-r) x+(r-p)=0 are

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  6. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

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  7. Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...

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  8. If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...

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  9. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

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  10. The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have ...

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  11. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

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  13. If alpha, beta are roots of the equations Ax^(2)+Bx+C=0. Then value of...

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  14. If the equation x^(2)+px+q=0 and x^(2)+qx+p=0 have a common root then ...

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  15. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

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  16. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

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  17. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

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  18. If sin alpha, cos alpha are the roots of the equation ax^(2)+bx+c=0, t...

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  19. If alpha, beta are the roots of x^(2)-ax+b =0 and If alpha^(n)+beta^(n...

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  20. The value of a for which one root of the quadratic equation (a^2-5a+3)...

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  21. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

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