A circle is drawn with (5,3) as centre. (5,6) is a point on the circle,
What is the length of the tangents from the origin to the circle?

Draw a circle the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle and measure them. Write your conclusion.

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

A pair of perpendicular tangents are drawn to a circle from an external point. Prove that the length of each tangent is equal to the radius of the circle.

The length of the tangent from (5, 1) to the circle x^2+y^2+6x-4y-3=0 is :

Draw a circle of radius 3 cm. Take a point P outside the circle without using the centre of the circle, draw to tangents to the circle from an external point P.

If y=3 x is a tangent to a circle with centre (1,1) then the other tangent drawn through (0,0) to the circle is

Prove that "the lengths of tangents drawn from an external points to a circle are equal ".