If a circle br drawn so as always to touch a given straight line and also a given circle externally then prove that the locus of its centre is a parabola.

A variable circle is drawn to touch the line 3x4y=10 and also the circle x^(2)+y^(2)=1 externally then the locus of its centre is -

Variable circles are drawn touching two fixed circles externally then locus of centre of variable circle is

apie circles are drawn touching the line x+5=0 and the circle x^(2)+y^(2)=4 externally.Show that locus of centre of this circle is a partrix and the focus,axis, vertex,directrix and extremities of latus rectum of this parabola.

Centre of a variable circle lies in first or fourth quadrant.This circle touches y-axis and also the circle x^(2)+y^(2)-4x=0 externally.Show that locus of centre of this variably.Show parabola.Find the direcrix and focus of this parabola.

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

The locus of the centre of a circle the touches the given circle externally is a _______

The locus of the centre of the circle that touch a given circle internally is ________

If a DeltaABC remains always similar to a given triangle and the point A is fixed and the point B always moves on a given straight line, then locus of C is (A) a circle (B) a straight line (C) a parabola (D) none of these

A circle touches a straight line lx+my+n=0 and cuts the circle x^(2)+y^(2)=9 orthogonally,The locus of centres of such circles is