A particle from the point `P(sqrt3,1)` moves on the circle `x^2 +y^2=4` and after covering a quarter of the circle leaves it tangentially. The equation of a line along with the point moves after leaving the circle is

Find the equation of a circle with center (4, 3) touching the circle x^2+y^2=1

The normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords is circle with radius

If a circle passes through the point (a, b) and cuts the circle x^2 +y^2=k^2 orthogonally, then the equation of the locus of its center is

A circle of radius unity is centered at thet origin. Two particles tart moving at the same time from the point (1, 0) and move around the circle in opposite direction. One of the particle moves anticlockwise with constant speed v and the other moves clockwise with constant speed 3v . After leaving (1, 0) , the two particles meet first at a point P, and continue until they meet next at point Q . The coordinates of the point Q are

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is

The equation of a circle is x^2+y^2=4. Find the center of the smallest circle touching the circle and the line x+y=5sqrt(2)

Find the equation of the circle with the line joining (2,3) and (-2,-1) as diameter. Find the equation of the tangent at the point (2,3) to this circle.

A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is another point on the circle such that are length A B=pi/2 units. Then, the coordinates of B can be