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If the sum of the roots of the quadratic...

If the sum of the roots of the quadratic equation `ax^(2) + bx + c = 0 ` is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

A

A.P

B

G.P

C

H.P

D

A.G.P

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  3. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

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  4. The number of solutions of the equation |x^2|-3|x|+2=0 is

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  5. The number of real roots of 3^(2x^(2)-7x+7)= 9 is

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  6. The equation e^(sin x)-e^(-sin x)-4=0 has

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  7. The number of real roots of (x+(1)/(x))^(3)+ (x+ (1)/(x))=0

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  8. The number of solutions of the system of equations given below is |x|+...

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  9. The equationx^(2)+ x^(-2)= sin^(2)x . Cos^(2)(x)/(2), 0 gt x lt (pi)/(...

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  10. Assertion (A) : The number of real solutions of the equation sin x = x...

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  11. The number of solutions of the equation |x|= cos x is

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  12. If the equations x^(2) + ax + bc = 0 and x^(2) + bx + ca = 0 have a c...

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  13. If the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have a common root differ...

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  14. If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R, h...

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  17. If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx...

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  18. The harmonic mean of two numbers is -(8)/(5) and their geometric mea...

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  19. The number of values of a for which (a^(2) – 3a + 2)x^(2) + (a^(2) - 5...

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