Normal to a Circle
Normal to a Circle: Overview
This topic covers concepts, such as, Normal to a Circle & Parametric Form of Normal to a Circle etc.
Important Questions on Normal to a Circle

Find the slope of the focal chords of the parabola , which are tangents to the circle

The equation of normal which is at a maximum distance from and drawn to the circle is

Two tangents to the circle at the points and meet a. Then the area of the quadrilateral is _____(where is the origin)

The circle touches the circle externally and has lines as normals. Find the length of the x -intercept that circle makes.

Find the slope of the focal chords of the parabola , which are tangents to the circle



The normal to the circle given by at meets the circle again at the point

The normal drawn at on the circle meets the circle at another point . Then the coordinates of are

The area (in square units) of the triangle formed by the tangent, normal at to the circle and the X - axis is

Number of normal that can be drawn from point of intersection of axis & line to circle

The radius of the circle passing through point and having as its normal and as its diameter is

The equation of the normal to the circle at the point is

The line will be a normal to the circle with radius and centre at , if -




The coordinates of the centre of the smallest circle passing through the origin and having as a diameter are

