The locus of point `z` satisfying `R e(1/z)=k ,w h e r ek` is a nonzero real number, is a. a straight line b. a circle c. an ellipse d. a hyperbola

The locus of the point z satisfying arg [( z - 1)/(z+1)] = k,where k is non zero is :

If z =(lambda+3)+isqrt((5-lambda^2)) ; then the locus of z is a) a straight line b) a semicircle c) an ellipse d) a parabola

The locus of the point at which two given unequal circles subtend equal angles is: (A) a straight line(B) a circle (C) a parabola (D) an ellipse

Locus the centre of the variable circle touching |z-4|=1 and the line Re(z)=0 when the two circles on the same side of the line is (A) a parabola (B) an ellipse (C) a hyperbola (D) none of these

If |z|=1, then the point representing the complex number -1+3z will lie on a.a circle b.a parabola c.a straight line d.a hyperbola

If z^(2)+z|z|+|z^(2)|=0, then the locus z is a.a a circle b.a straight line c.a pair of straight line d.none of these

Locus of the point z satisfying the equation |zi-i|+ |z-i| =2 is (1) A line segment (2) A circle (3) An eplipse (4) A pair of straight line

Statement-1: The locus of point z satisfying |(3z+i)/(2z+3+4i)|=3/2 is a straight line. Statement-2 : The locus of a point equidistant from two fixed points is a straight line representing the perpendicular bisector of the segment joining the given points.

The locus of the point (x,y) which moves such that sin^(-1)2x+sin^(-1)y=(pi)/(2) is a circle b . a hyperbola c.a straight d.an ellipse

In Argand diagram all the complex numbers z satisfying |z-4i|+|z+4i|=10 lie on a ( ( ) ) straight line (B) circle (C) ellipse (D) parabola