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If p(x)= ax^(2)+bx+c and Q(x) =-ax^(2)+d...

If `p(x)= ax^(2)+bx+c` and `Q(x) =-ax^(2)+dx+c`
where `ac ne 0` then the equation `P(x).Q(x)=0` has atleast

A

two real roots

B

two negative roots

C

two positve roots

D

one positive root and oine negative

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF alpha , beta are the roots of x^2 +px +q=0 and alpha ^4 ...

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  2. Let a,b,c be real numbers a ne 0 if alpha is a roots of a^2 ...

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  3. If p(x)= ax^(2)+bx+c and Q(x) =-ax^(2)+dx+c where ac ne 0 then the e...

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  4. Let f(x) = x^2 + ax + b , where a, b in RR . If f(x) =0 has ...

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  5. a,b,c in R alpha is a root of a^2 x^2 +bx +c=0 beta is a ro...

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  6. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

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  7. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

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  8. If m , in Z and the equation mx^2 +(2m -1)x:(m-2)=0 has rational ...

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  9. If a in Z and the equation (x-a)(x-10) +1=0 has integral root...

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  10. IF in R and the equation -3(x-[x]) +a^2 =0 ( where [x] denotes ...

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  11. If the roots of the equation x^2+kx +64 =0 and x^2 - 8x + k =0 k...

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  12. IF the roots of the equation ax ^2 +bx + c=0 are real and disti...

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  13. If the roots of ax ^2 + bx +c=0 are both positve , then

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  14. IF the roots of ax^2 +bx +c=0 are both negative and b < 0 then

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  15. IF the roots of ax^2+bx +c=0 are equal in magnitude but opposit...

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  16. if P , q, r are positive and are in A.P the roots of the quadrativ...

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  17. IF (1+k) tan ^2 x-4 tan x -1 + k=0 has real roots tan x1 and ...

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  18. IF 0 < a<b<c and the roots alpha , beta of the equation ax ...

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  19. if 0 < a < b> 0 nad c > 0 then both the roots of the equation 2...

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  20. IF p,q,in { 1,2,3.4} the number of equation of the form px^2 +q...

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