The normal at the point (1, 1) on the curve 2y + x2 = 3 is

Q28 of 149 Page 16

The normal at the point (1, 1) on the curve 2y + x² = 3 is

Given that the curve 2y + x² = 3 has a normal passing through point (1, 1).

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

Slope of the tangent

For (1, 1):

Equation of the normal:

⇒ y – 1 = x - 1

⇒ y - x = 0

⇒ x – y = 0

Hence, option B is correct.

The slope of the tangent to the curve x = t² + 3t – 8, y = 2t² – 2t – 5 at the point (2, –1) is

The line y = mx + 1 is a tangent to the curve y² = 4x, if the value of m is

The normal to the curve x² = 4y passing through (1, 2) is

Find the point on the curve y = x² – 2x + 3, where the tangent is parallel to x-axis.