If `z=3/(2+costheta+"isin"theta)` then locus of `z` is straight line a circle having center on the y-axis a parabola a circle having center on the x-axis

If the length of the normal for each point on a curve is equal to the radius vector, then the curve (a) is a circle passing through origin (b) is a circle having centre at origin and radius 0 (c) is a circle having centre on x-axis and touching y-axis (iv) is a circle having centre on y-axis and touching x-axis

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 centre of the circle touching x-axis nad the line y=x is

If |z|=5, then the locus of -1 + 2z is (A) a circle having center (2,0) (B) a circle having center (-1,0) (C) a circle having radius 5 (D) a circle having radius 9

The locus of the center of a circle which cuts orthogonally the parabola y^2=4x at (1,2) is a curve

Find the equation of the circle having center at (2,3) and which touches x+y=1 .

Find the equation of a straight line perpendicular to the line x-2y+3=0 and having intercept 3 on x-axis.

If |z|lt1, then 1+2z lies (A) on or inside circle having center at origin and radius 2 (B) outside the circle having center at origin and radius 2 (C) inside the circle having center at (1,0) and radius 2 (D) outside the circle having center at (1,0) and radius 2.

Find the locus of center of circle of radius 2 units, if intercept cut on the x-axis is twice of intercept cut on the y-axis by the circle.

A circle with center (5,-2) is tangent to the y-axis. What is the equation of the circle ?