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If P(x) = ax^(2) + bx + c and Q(x) = -a...

If P(x) = `ax^(2) + bx + c ` and Q(x) = -`ax^(2) + dx + c,` where ac `ne` 0 , then P(x) . `Q(x) = 0 ` has at least :

A

four real roots

B

two real roots

C

four imaginary roots

D

None of these

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The correct Answer is:
B
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MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

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  2. If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equati...

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  3. If P(x) = ax^(2) + bx + c and Q(x) = -ax^(2) + dx + c, where ac ne 0 ...

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  4. If one root of the ax^(2) + bx + c = 0 is equal to nth power of the o...

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  5. The number of real solutions of the equation : | x^(2) + 4x + 3 | + ...

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  6. Let p, p ne { 1,2,3,4}. The number of equations of the form px^(2) + q...

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  7. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

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  8. If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0. T...

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  9. If the ratio of the equation x^(2) + qx + r = 0 , is the same as that ...

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  10. If (1 + 2i) is a root of the equation x^(2) + bx + c = 0 . Where b and...

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  11. The non-trival values of (a,b) such that roots of the equation x^(2) +...

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  12. The number of values of 'k' for which the equation x^(2) - 3x + k = 0 ...

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  13. If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lamb...

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  14. If b gta, then the equation (x -a)(x - b) - 1 = 0 has :

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  15. Let f (x) = (1 + b)^(2) x^(2) + 2bx + 1 and let m(b) be the minimum ...

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  16. The number of solutions of : log(4) (x - 1)= log(2) (x - 3) is :

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  17. If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , ...

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  18. The number of real roots of 3^2x^2-7x+7=9 is (A) 0 (B) 2 (C) 1 (D) 4

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  19. The number of values of k, for which the system of eauations: (k+1)x...

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  20. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

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