If the normal to the curve $y = f(x)$ at the point $(4, 6)$ makes an angle $\frac{2\pi}{3}$ with the positive $x$-axis in the anticlockwise direction,then $f'(4)$ is:

  • A
    $\sqrt{3}$
  • B
    $-\sqrt{3}$
  • C
    $\frac{1}{\sqrt{3}}$
  • D
    $-\frac{1}{\sqrt{3}}$

Explore More

Similar Questions

If the line $ax + by + c = 0$ is a normal to the curve $xy = 1$,then:

The curves $y=4x^2+2x-8$ and $y=x^3-x+13$ touch each other at the point

At which point does the tangent to the curve $\sqrt{x} + \sqrt{y} = \sqrt{a}$ become perpendicular to the $x$-axis?

If the length of the subnormal at any point of the curve $y^n = a^{n-1}x$ is constant,then $n$ equals-

If the normal to the curve $y=f(x)$ at the point $(3,4)$ makes an angle $\left(\frac{3 \pi}{4}\right)^{C}$ with the positive $X$-axis,then $f^{\prime}(3)$ is equal to

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo