Q2 of 149 Page 16

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

Given that the curve y = x + sin x cos x

Differentiating both the sides w.r.t. x,

Now,

Slope of the tangent

When

Equation of the normal:

⇒ 2x = π

Hence option D is correct.

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

a²cos²α–b²sin²α = ρ².

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

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

The point on the curve y² = x where tangent makes 45° angle with x-axis is