Q1 of 149 Page 16

The equation to the normal to the curve y = sinx at (0, 0) is

Given that y = sinx

Slope of the tangent

Slope at origin = cos 0 = 1

Equation of normal:

⇒ y + x=0

Hence option C is correct.

Show that the curves and interest at right angles

If the straight line xcosα + ysinα = p touches the curve then prove that

a²cos²α–b²sin²α = ρ².

The equation of the normal to the curve y = x + sin x cos x at is

The equation of the normal to the curve y = x (2 – x) at the point (2, 0) is