Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre .

The angle formed by the radius at the point of contact with a tangent is:

In the given figure, two circles touch each other externally at the point C. Prove that the common tangent to the circle at C bisects the common tangents at P and Q.

The equation of the tangent to the circle x^2+y^2=25 passing through (-2,11) is

Prove that the tangents to a circle at the end points of a diameter are parallel.

The chord of contact of the pair of tangents drawn from each point on the line 2 x+y=4 to the circle x^(2)+y^(2)=1 passes through the point

The equation of circle having centre at (2,2) and passes through the point (4,5) is

Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals.

Prove that the tangents drawn to a circle from an external point are equal.

Prove that the tangents drawn to a circle from an external point are equal.