Question

At (0, 0) the curve y = x³ + x

Options

• none of these

• makes an angle of 60° with OX

• bisects the angle between the axis

• touches X-axis

Answer 1

bisects the angle between the axis

Explanation:

`("dy"/"dx")_((0,0)` = 1 and hence the tangent to the curve at (0 , 0) makes an angle of `pi/4` with +ve X-axis.