2 at the point of intersection with Y-axis is (a) x+2y=0 (c) x=y=2 (b) 2x+y=0 (d) x+y=2

January 2024 1 15 Report

-) The equation of tangent to the curve y=1-e^x/2 at the point of intersection with Y-axis is (a) x+2y=0 (c) x=y=2 (b) 2x+y=0 (d) x+y=2

Answer:

Hey ! Answer is given here:-

Step-by-step explanation:

The correct option is A

x +2y =0

For y -axis, x =0

∴y=1−e∘=1−1=0∴dydx=0−12ex/2,(dydx)(0,0)=−12

∴ Equation of tangent

y−0=−12(x−0)⇒x+2y=0