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

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

The locus of the center of a variable circle which always touches two given circles externally is

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .

The locus of the centres of the circles which touch both the axes is given by

The locus of the centre of a circle which touches the circles |z-z_(1)|=a and |z-z_(2)|=b externally (z, z_(1), z_(2) are complex numbers) will be-

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.

Two circles are given such that one is completely lying inside the other without touching. Prove that the locus of the center of variable circle which touches the smaller circle from outside and the bigger circle from inside is an ellipse.

The locus of the centre of a circle which touches externally the circle x^2 + y^2-6x-6y+14 = 0 and also touches Y-axis, is given by the equation (a) x^2-6x-10y+14 = 0 (b) x^2-10x-6y + 14 = 0 (c) y^ 2-6x-10y+14-0 (d) y^2-10x-6y + 14 = 0

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter. (a)cuts the given circle orthogonally (b)touches the given circle externally (c)touches the given circle internally (d)none of these