The equation of a normal to the curve, y = x ( 3 + y ) at x = 0, is:

JEE Main 2015 Mathematics question

The equation of a normal to the curve, at , is:

Answer: (4)

At the equation gives , so the point of interest is . Differentiate implicitly with respect to :

y = (3+y) + x(3+y).

Evaluating at , the last term vanishes because , leaving

Create a free account to read the complete working (3 steps), and practise questions like this in a timed test.

Question ID VK-115393