Home
Class 12
MATHS
The point on y^(2)=4ax nearst to the foc...

The point on `y^(2)=4ax` nearst to the focus has to abscissa equal to

A

x=0

B

x=a

C

`x=a/2`

D

`x=2a`

Text Solution

Verified by Experts

The correct Answer is:
A

Here, 'S' represents focus O(0, 0) is a on parabola `y^(2)=4ax` and nearest to focus (a, 0)

`:." abscissa of O(0, 0) is x = 0"`
`:." Option (a) is correct"`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The point on y^(2)=4ax nearest to the focus has to abscissa equal to

The normal chord of y^(2)=4ax at a point where abscissa is equal to ordinate subtends at the focus an angle theta

Find the area of the triangle formed by the lines joining the focus of the parabola y^(2) = 4x to the points on it which have abscissa equal to 16.

In the parabola y^(2) = 4ax , the tangent at the point P, whose abscissa is equal to the latus ractum meets the axis in T & the normal at P cuts the parabola again in Q. Prove that PT : PQ = 4 : 5.

The point on the curve y^(2) = 4ax at which the normal makes equal intercepts on the coordinate axes is

In the parabola y^(2)=4ax, then tangent at P whose abscissa is equal to the latus rectum meets its axis at T, and normal P cuts the curve again at Q. Show that PT:PQ=4:5

If "P" is a point on the parabola " y^(2)=4ax " in which the abscissa is equal to ordinate then the equation of the normal at "P" is

The normal meet the parabola y^(2)=4ax at that point where the abscissa of the point is equal to the ordinate of the point is

For the parabola y^(2)=4ax, the ratio of the subtangent to the abscissa, is