If angle between two tangents drawn from a point P to a circle of radius 'a' and the centre O is `90^@` then prove that `OP=sqrt(a)`

If angle between two tangents drawn from a point P to a circle of radius a and centre 0 is 60^(@) then OP=asqrt3 .

Write true or false and state reason: If angle between two tangents drawn from a point P to a circle of radius a and centre O is 90^(@) then OP=asqrt2 .

Write true or false and state reason If angle between two tangents drawn from a point P to a circle of radius a and centre 0 is 90^(@) then OP=asqrt2 .

Write True or False and justify your answer: If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60^(@) then OP=asqrt3 .

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 'a' and center 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.

If the angle between two tangents drawn from a point outside of a circle is 120° . The angle at the centre is

Prove that the internal bisector of the angle between two tangents drawn from an external point of a circle will pass through the centre of the circle.