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For p,q in R, the roots of (p^2+q^2...

For `p,q in R,` the roots of ` (p^2+q^2)x^2+2(p+q)x+2=0` are

A

real and equal

B

real and unequal

C

equal complex numbers

D

unequal complex numbers

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Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0are

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  2. IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)...

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  3. For p,q in R, the roots of (p^2+q^2)x^2+2(p+q)x+2=0 are

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  4. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

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  5. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

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  6. The roots of (x-a) (x-a -1) +(x-a-1) +(x-a-2) +(x-a) (x-a-2)=0 a in...

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  7. IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

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  8. If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the ro...

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  9. IF the roots of (a^2 +b^2 ) x^2 +2 (bc + ad ) x +(c^2+d^2)=0 ar...

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  10. IF m,n,K are rational and m=k +(n)/(k) then the roots of x^2 ...

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  11. IF alpha , beta are the roots of x^2 +px +q=0 and alpha ^4 ...

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

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

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

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

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

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

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

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