[" 19.A circle touches the line "L" and the circle "C_(1)" externally "],[" such that both the circles are on the same side of the "],[" line,then the locus of centre of the circle is "],[[" (a) ellipse "," (b) hyperbola "],[" (c) parabola "," (d) parts of straight line "]]

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

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

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

A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 externally, then locus of the centre of the circle C is given by

ABCD is a square of side length 2 units. C_(1) is the circle touching all the sides of the square ABCD and C_(2) is the circumcircle of square ABCD. L is a fixed line in the same plane and R is fixed point. If a circle is such that it touches the line L and the circle C_(1) externally, such that both the circles are on the same side of the line, then the locus of centre of the circle is

ABCD is a square of side length 2 units. C_(1) is the circle touching all the sides of the square ABCD and C_(2) is the circumcircle of square ABCD. L is a fixed line in the same plane and R is fixed point. If a circle is such that it touches the line L and the circle C_(1) externally, such that both the circles are on the same side of the line, then the locus of centre of the circle is