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If f(x) =ax^(2) +bx + c, g(x)= -ax^(2...

If ` f(x) =ax^(2) +bx + c, g(x)= -ax^(2) + bx +c " where " ac ne 0 " then " f(x).g(x)=0` has

A

At least three real roots

B

No real roots

C

At least two real roots

D

At most two imaginary roots

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The correct Answer is:
C, D
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -C) (objective Type Questions ( more thena one options are correct )
  1. If log(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0 then the region traced by z ...

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  2. If z(1) ,z(2) be two complex numbers satisfying the equation |(z(1)...

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  3. If sin alpha, cosalpha are the roots of the equation x^2 + bx + c = 0 ...

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  4. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

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  5. The solution set of the inequality (x+3)^(5) -(x -1)^(5) ge 244 is

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  6. Let a,b,c be real numbers in G.P. such that a and c are positive , the...

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  7. Let cos alpha be a root of the equation 25x^(2) +5x -12 = 0 -1 lt x...

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  8. If the quadratic equations x^(2) +pqx +r=0 and z^(2) +prx +q=0 have a...

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  9. The quadratic equation x^(2) - (m -3)x + m =0 has

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  10. If both roots of the equation x^(2) -2ax+a^(2)-1=0 lie between -3 and...

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  11. Let alpha, beta " the roots of " x^(2) -4x + A =0 and gamma, delta " ...

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  12. For the equation x^(3/4(logx)^(2)+log(2)x-5/4)=sqrt2, which one of the...

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  13. If f(x) =ax^(2) +bx + c, g(x)= -ax^(2) + bx +c " where " ac ne 0 "...

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  14. Sum of the squares of all integral values of a for which the inequalit...

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  15. If the roots of the equation 1/(x+p) + 1/(x+q) = 1/r are equal in mag...

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  16. Find the integral values of a for which (a+2)x^2+2(a+1)x+a=0 will have...

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  17. If (x-1)^(2) is a factor of ax^(3) +bx^(2) +c then roots of the equa...

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  18. if b^(2)ge4ac for the equation ax^(4)+bx^(2) +c=0 then roots of the e...

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  19. The difference between the roots of the equation x^(2) + kx + 1=0 is ...

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  20. The set of all real numbers a such that a^2+2a ,2a+3,a n da^2+3a+8 are...

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