`S` is a circle having the center at `(0,a)` and radius `b(b < a)dot` A variable circle centered at `(alpha,0)` and touching the circle `S` meets the X-axis at `Ma n dN` . Find the a point `P` on the Y-axis, such that `/_M P N` is a constant for any choice of `alpha`

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.

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

Which of the following is an equation of a circle in the xy-plane with center (0, 4) and a radius with endpoint ((4)/(3),5) ?

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

Find the equation of the circle with center (−3,2) and radius 4

A circle touches the x-axis and also thouches the circle with center (0, 3) and radius 2. The locus of the center of the circle is (a) a circle (b) an ellipse (c) a parabola (d) a hyperbola

A circle touches the x -axis and also touches the circle with center (0, 3) and radius 2 . The locus of the center

Find the equation of the circle with centre : (-a , b) and radius sqrt(a^2-b^2) .

Which of the following is the equation of a circle with center (2, 0) and a radius with endpoint (5, sqrt(7)) ?