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If the sum of the roots of the equation `ax^2+bx+c=0` is equal to the sum of the reciprocal of their squares, then `bc^2, ca^2` and `ab^2` are in

A

A.P.

B

G.P.

C

H.P.

D

None

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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
  1. If the sum of the roots of the equation ax^2+bx+c=0 is equal to the su...

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  2. If the equation x^(2)-(2+m)x +(m^(2)-4m+4)=0 has equal roots then the ...

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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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  12. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

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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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