$x - 2 = t^2$ and $y = 2t$ are the parametric equations of which parabola?
- A$y^2 = 4x$
- B$y^2 = -4x$
- C$x^2 = -4y$
- D$y^2 = 4(x - 2)$
Explore More
Similar Questions
The normal to the parabola ${y^2 = 8x}$ at the point $(2, 4)$ meets the parabola again at the point
Medium
View SolutionThe normal at the point $(bt_1^2, 2bt_1)$ on the parabola $y^2 = 4bx$ meets the parabola again at the point $(bt_2^2, 2bt_2)$. Then:
MediumAIEEE 2003
View SolutionIf $mx - y + c = 0$ is a normal at a point $P$ on the parabola $y^2 = 16x$ and the focal distance of $P$ is $40$ units,then $|c| =$
If $a \ne 0$ and the line $2bx + 3cy + 4d = 0$ passes through the points of intersection of the parabolas $y^2 = 4ax$ and $x^2 = 4ay$,then
MediumAIEEE 2004
View SolutionIf two parabolas $y^2 = 4x$ and $x^2 = 32y$ intersect at the point $(16, 8)$ at an angle $\theta$,then what is the value of $\tan \theta$?
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo