Table of Contents
Construction of Tangent to a Circle
A Tangent Circle is a circle that is tangent to another circle. The radius of the Tangent Circle is the same as the radius of the other circle.
At a Particular Point of the Circle with Centre O:
If we take a point P on the circle with centre O, then the distance from P to O is the radius of the circle.
The angle between the radius OP and the tangent PT is the tangent angle of the circle at P.
At a Point Outside The Circle:
A point outside a circle is a point that is not on the circle. If you imagine a dot on a piece of paper and then draw a circle around that dot, any point that is not on the line connecting the dot to the edge of the circle is considered to be outside the circle.
Construction of Tangents When NO Centre is Given:
Given two points, P(x 1 , y 1 ) and Q(x 2 , y 2 ), construct the tangent to the curve at P.
Draw a line perpendicular to the x-axis passing through P. This line intersects the curve at a point Q’.
The tangent to the curve at P is the line through Q’ and P.
