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If x^(2)+px+q=0 has roots 2i + 3, 2i–3 ...

If `x^(2)+px+q=0` has roots 2i + 3, 2i–3 then the discriminant of the equation is

A

36

B

32

C

-36

D

-16

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  2. IF alpha , beta are the roots of the equation x^2+2ax +b=0 , the...

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  3. If x^(2)+px+q=0 has roots 2i + 3, 2i–3 then the discriminant of the e...

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  4. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

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  5. If p(q-r)x^(2) + q(r-p) x+ r(p-q) = 0 has equal roots, then (2)/(q)=

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  6. Assertion (A): If the roots of (a^(2)+b^(2))x^(2)-2b(a+c)x+ (b^(2)+c^(...

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  7. If one root of the equation x^(2) + px + 12 = 0 is 4, while the equati...

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

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  9. If the quadratic expression x^(2)-(a-1)x+(a+(1)/(4)) were to be a per...

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  10. If 0 gt a gt b gt c and the roots alpha, beta are imaginary roots of ...

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  11. For a, b, c in Q and b + c ne a, the roots of ax^(2)-(a+b+c)x+(b+c)=0

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  12. For a, b, c in R and a, b, c are different, then the roots of (x+a)(x+...

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  13. If a, b, c are real then (b-x)^(2)-4(a-x) (c-x)=0 will have always roo...

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  14. If a, b, c are all positive and in H.P., then the roots of ax^(2)+2bx+...

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  15. The root of (x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0, a in R are alw...

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  16. Let f(x)=x^(2)+ax+b, where a, b in R. If f(x)=0 has all its roots imag...

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  17. The roots of ax^(2) + 2bx + c = 0 and bx^(2)- 2sqrt(ac)x+b=0 are simu...

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

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  19. If the roots of (1)/(x+a)+ (1)/(x+b)= (1)/(c) are equal in magnitude ...

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  20. If (x + 2)(x + 3b) = c has roots alpha,beta , then the roots of (x + a...

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