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?

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

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.

Problem Answer:

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

Solution:

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