The normal to the curve y = x² + 2x + 3 at the point where x = 1 is: A. x + 4y = 25 B. 4x + y = 10 C. x − 4y + 23 = 0 D. 4x − y = 2 Answer: A) x + 4y = 25 Explanation: y = 1 + 2 + 3 = 6. dy/dx = 2x + 2 = 4. Normal slope = −1/4. Eq: y − 6 = −1/4(x − 1) → 4y − 24 = −x + 1 → x + 4y = 25.

imo class 12 application of derivatives

The normal to the curve y = x² + 2x + 3 at the point where x = 1 is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The normal to the curve y = x² + 2x + 3 at the point where x = 1 is:

Answer: A) x + 4y = 25

Explanation: y = 1 + 2 + 3 = 6. dy/dx = 2x + 2 = 4. Normal slope = −1/4. Eq: y − 6 = −1/4(x − 1) → 4y − 24 = −x + 1 → x + 4y = 25.