Embibe Experts Solutions for Exercise 1: West Bengal Board-2018

A particle moves along the parabola $y^2=4x$. Find the coordinates of the point on the parabola, where the rate of increment of abscissa is twice the rate of increment of the ordinate.

A circular ink blot grows at the rate of $2 {\mathrm{cm}}^2/\sec$. Find the rate at which the radius is increasing after $2\frac{6}{11}$ seconds.