Home
Class 11
MATHS
x-2 = t^2, y = 2t are the parametric equ...

`x-2 = t^2, y = 2t` are the parametric equations of the parabola-

A

`y^(2)=4x`

B

`y^(2)= -4x`

C

`x^(2)-= -4y`

D

`y^(2)= 4(x-2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the parametric equation of the parabola (x-1)^(2)=-16(y-2)

The parametric equation of the circle x^(2)+y^(2)=r^(2) are

Which one of the following equation represent parametric equation to a parabolic curve? x=3cos t;y=4sin tx^(2)-2=2cos t;y=4cos^(2)(t)/(2)sqrt(x)=tan t;sqrt(y)=sec tx=sqrt(1-sin t;)y=sin(t)/(2)+cos(t)/(2)

" Length of the latus rectum of the parabola whose parametric equations are " x=t^(2)+t+1 , y=t^(2)-t+1 " where " t in R ," is equal to."

If x=t^(2) and y=2t then equation of the normal at t=1 is

Find the slope of the line whose parametric equations are x=4t+6 and y=t-1

The Cartesian equation of the curve whose parametric equations are x=t^(2)+2t+3 " and " y=t+1 " is a parabola "(C)" then the equation of the directrix of the curve 'C' is.(where t is a parameter)

The Cartesian equation of the curve whose parametric equations are x=t^(2) +2t+3 and y=t+1 is a parabola (C) then the equation of the directrix of the curve 'C' is.(where t is a parameter)

The length of latusrectum of the parabola whose parametric equations are x=t^2+t+1,y=t^2-t+1, where t in R is equal to (1) sqrt(2) (2) sqrt(4) (3) sqrt(8) (4) sqrt(6)