The equation of the tangent at a point $P(t)$,where $t$ is any parameter,to the parabola $y^2 = 4ax$ is:

  • A
    $yt = x + at^2$
  • B
    $y = xt + at^2$
  • C
    $y = xt + \frac{a}{t}$
  • D
    $y = tx$

Explore More

Similar Questions

The equations $x = \frac{t}{4}$ and $y = \frac{t^2}{4}$ represent:

Let $x+y=k$ be a normal to the parabola $y^2=12x$. If $p$ is the length of the perpendicular from the focus of the parabola onto this normal,then $4k-2p^2$ is equal to

At which point does the line $x = my + \frac{a}{m}$ touch the parabola $x^2 = 4ay$?

If $x = my + c$ is a normal to the parabola ${x^2} = 4ay$,then the value of $c$ is

The point of contact of the tangent $18x - 6y + 1 = 0$ to the parabola $y^2 = 2x$ is

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