R D Sharma Solutions for Chapter: Tangents and Normals, Exercise 1: MULTIPLE CHOICE QUESTIONS (MCQs)

Write the angle made by the tangent to the curve $x=e^t\cos t, y=e^t \sin t$ at $t=\frac{\pi }{4}$ with the x-axis.

Write the equation of the normal to the curve $y=x+\sin x \cos x$ at $x=\frac{\pi }{2}$.

Find the coordinates of the point on the curve $y^2=3-4x$ where tangent is parallel to the line $2x+y-2=0$.

Write the equation of the tangent to the curve $y=x^2-x+2$ at the point where it crosses the y-axis.

Write the angle between the curves $y^2=4x$ and $x^2=2y-3$ at the point $\left(1,2\right)$.

Write the angle between the curves $y=e^{-x}$ and $y=e^x$ at their point of intersection.

Write the coordinates of the point at which the tangent to the curve $y=2x^2-x+1$ is parallel to the line $y=3x+9$.

Write the equation of the tangent drawn to the curve $y=\sin x$ at the point $\left(0,0\right)$.