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If the sum of square of roots of the equ...

If the sum of square of roots of the equation `x^2+(p+i q)x+3i=0` is 8, then find the value of `p` and `q`, where `p` and `q` are real.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b ...

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  3. If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, ...

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  4. Column I ...............................................................

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  5. If sqrt(x+i y)=+-(a+i b), then findsqrt( -x-i ydot)

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  7. Find the ordered pair (x ,y) for which x^2-y^2-i(2x+y)=2idot

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  8. If a ,b ,c are non zero complex numbers of equal modlus and satisfy a ...

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  9. Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...

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  10. Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a...

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  11. Find non zero integral solutions of |1-i|^x=2^xdot

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  12. Column I, Column II If x^2+a x+b=0 has roots alpha,betaa n dx^2+p x+...

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  13. If (1+i)(1+2i)(1+3i)......(1+n i)=(x+i y) , show that 2. 5. 10...... (...

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  19. Prove that |z1+z2|^2=|z1|^2+|z2|^2, ifz1//z2 is purely imaginary.

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  20. Find the range of the function f(x)=6^x+3^x+6^(-x)+e^(-x)+2.

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