# Solution: Find the equation of the normal to x^2 + y^2 = 5 at the point (2, 1)

Find the equation of the normal to x^2 + y^2 = 5 at the point (2, 1). How to find the equation of the line normal to the curve at the given point?

#### Problem Statement: ECE Board April 1999

Find the equation of the normal to x^2 + y^2 = 5 at the point (2, 1).
• A. y = 2x
• B. x = 2y
• C. 2x + 3y = 3
• D. x + y = 1

Note: The slope of the line normal to the curve at the given point is equal to the negative of the reciprocal of the slope of the given curve.

The equation of the normal is equal to x = 2y

Solution:

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