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The locus of point z satisfying R e(1/z)...

The locus of point `z` satisfying `R e(1/z)=k , where k` is a non zero real number, is a. a straight line b. a circle c. an ellipse d. a hyperbola

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. The locus of point z satisfying R e(1/z)=k , where k is a non zero re...

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  4. If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p...

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  5. Find the square root 9+40 idot

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  7. Let a be a complex number such that |a|<1a n dz1, z2,z3,... be the ve...

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  8. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

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  9. If the ratio of the roots of the equation x^2+p x+q=0 are equal to rat...

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  10. Let z=1-t+isqrt(t^2+t+2), where t is a real parameter.the locus of the...

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  11. If sintheta,costheta be the roots of a x^2+b x+c=0 , then prove that b...

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  12. Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((...

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  13. If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely i...

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  14. If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight ...

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  15. If the sum of the roots of the equation 1/(x+a)+1/(x+b)=1//c is zero,...

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  16. Solve the equation x^2+p x+45=0. it is given that the squared differen...

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  17. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

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  18. z1a n dz2 lie on a circle with center at the origin. The point of inte...

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  19. If alpha,beta are the roots of the equation 2x^2-35x+2=0 , the find ...

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  20. If one root of the equation z^2-a z+a-1= 0 is (1+i), where a i...

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