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

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

Prove that the angle between two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact at the centre.

ABCD is a quadrilateral in which a circle is inscribed. Statement:1 The length of the sides of the quadrilateral can be A.P. and Statement: 2: The length of tangents from an external point to a circle are equal.

Prove that The length of tangent from an external point on a circle is always greater than the radius of the circle.

Prove that the tangent lines drawn from the outer point to the circle are equal? Or

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

Find the equation to the chord of contact of the tangents drawn from an external point (-3, 2) to the circle x^2 + y^2 + 2x-3=0 .

Find the equation to the chord of contact of the tangents drawn from an external point (-3, 2) to the circle x^2 + y^2 + 2x-3=0 .

If the angle between two tangents drawn from an external point P to a circle of radius 'a' and centre O, is 60^(@), then find the length of OP.

If the angle between two tangents drawn from an external point ‘P’ to a circle of radius ‘r’ and centre O is 60^(@) , then find the length of OP.