Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question

Question

A normal to a circle at a given point is a line that is?
Options
A Parallel to the tangent at that point.
B Perpendicular to the tangent at that point.
C Passing through the centre and the point of tangency.
D Both B and C
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

A normal to a curve at a point is perpendicular to the tangent at that point. For a circle, the normal at any point is the line through that point and the centre of the circle.

Hint

A normal is perpendicular to the tangent, and for a circle, it also passes through the centre.

Question Info