Home
Class 11
MATHS
The equation of the tangent at the point...

The equation of the tangent at the point P(t) ,wheret is any parameter, to the parabola `y^2 = 4ax` is

A

`y t= x + a t^(2)`

B

`y= x t + a t^(2)`

C

`y= x t= (a)/(t)`

D

y= tx

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of tangent at point whose parameter is t

Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. Equation of the tangent at the point on the parabola P_(1) where the line L meets the parabola is

Equation of the tangent at the point t=-3 to the parabola y^(2)=3x is

Equation of the tangent at the point t=-3 to the parabola y^2 = 3x is

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

Equation of tangent to parabola y^(2)=4ax

Circle is drawn with end points of latus rectum of the parabola y^2 = 4ax as diameter, then equation of the common tangent to this circle & the parabola y^2 = 4ax is :

Statement 1: The line ax+by+c=0 is a normal to the parabola y^(2)=4ax. Then the equation of the tangent at the foot of this normal is y=((b)/(a))x+((a^(2))/(b)). Statement 2: The equation of normal at any point P(at^(2),2at) to the parabola y^(2)= 4ax is y=-tx+2at+at^(3)