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

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation 2x -y -2 =0 . Then the equation of the circle is:

The foot of the normal from the point (1,2) to a circle is (3,4) and a diameter of the circle has the equation 2x+y+5=0 ,then the equation of the circle is

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-11=0 touch the circle at points A and B. The equation of the cricumcircle of triangle PAB is

If a particle is moving along a circle of radius 3 m with a constant speed 9 m//s , then it covers a quarter of the circle in time of

If a particle is moving along a circle of.radius 3m with a constant speed 9 m//s , then it covers a quarter of the circle in time of

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

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