imo class 12 application of derivatives

The equation of the normal to the curve y = sin x at (0, 0) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers
#IMO#Class 12#Mathematics#Application of Derivatives#mathematical-reasoning

The equation of the normal to the curve y = sin x at (0, 0) is:

  • A. x = 0
  • B. y = 0
  • C. x + y = 0
  • D. x - y = 0

Answer: C) x + y = 0

Explanation: dy/dx = cos x. At (0, 0), slope of tangent = cos(0) = 1. Slope of normal = -1. Equation of normal: y - 0 = -1(x - 0), which is x + y = 0.

0 Answers

Log in to post your own answer or join the discussion.

Discussion (0)

No comments yet — start the discussion.

← Back to all questions