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The roots of the equation 2(a ^2 +b^2...

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

A

real and equal

B

real and unequal

C

complex numbers

D

cannot be determind

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Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. If x^(2) - (5m - 2)x + 4m^(2) + 10m + 25 is a perfect square then m = ...

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

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

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

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  5. If the equation x^(2)-x+ m^(2) = 0 has no real roots then m can satisf...

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  6. If the roots (1)/(x+k+1)+(2)/(x+k+2)=1 are equal in magnitude but oppo...

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  7. The roots of the equation 5x^(2)+10x-7=0 are

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  8. The set of values of p for which the roots of the equation 3x^(2) + 2x...

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  9. If the roots of ax^(2)+ bx + c = 0 are equal in magnitude but opposite...

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  10. If the roots of ax^(2) + bx + c = 0 are both positive and b lt 0, then

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  11. The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8...

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  12. Let alpha, beta be the roots of the equation (x - a)(x - b) = c, c != ...

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  13. The equation |x|^(2) -|x|-6 = 0 has

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  14. If |x^(2)|-3|x|+2=0 then x =

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  15. Solutions of the equation x|x+1|+1=0 are

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  16. If m is a positive integer then the solutions of x^((2)/(5))-5x^((1)/(...

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  17. If the sum of the roots of ax^(2) + bx + c = 0 is equal to the sum of ...

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  18. If a != 0, then the equation (x-a-1)/(x-a)=(a+1)-(1)/(x-a) has

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  19. The number of real solutions of the equation ((9)/(x))^(x)= -3+x-x^(2)...

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  20. Solve x^(2//3)+x^(1//3)-2=0

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