Home
Class 12
MATHS
P Q is a normal chord of the parabola y^...

`P Q` is a normal chord of the parabola `y^2=4a x` at `P ,A` being the vertex of the parabola. Through `P ,` a line is down parallel to `A Q` meeting the x-axis at `Rdot` Then the line length of `A R` is equal to the length of the latus rectum equal to the focal distance of the point `P` equal to twice the focal distance of the point `P` equal to the distance of the point `P` from the directrix.

A

the length of latusrectum

B

the focal distance of point P

C

the twice the focal distance of point P

D

the distance of the point P from the directrix

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

PQ is a normal chord of the parabola y 2 =4ax at P, A being the vertex of the parabola. Through P, a line is down parallel to AQ meeting the x-axis at R. Then the line length of AR is (A) equal to the length of the latus rectum (B)equal to the focal distance of the point P (C) equal to twice the focal distance of the point P (D) equal to the distance of the point P from the directrix.

PQ is a normal chord of the parabola y^2= 4ax at P,A being the vertex of the parabola. Through P a line is drawn parallel to AQ meeting the x-axis in R. Then the length of AR is : (A) equal to the length of the latus rectum (B) equal to the focal distance of the point P (C) equal to the twice of the focal distance of the point P (D) equal to the distance of the point P from the directrix.

If focal distance of a point P on y^(2) = 8x is 4, then P is

If ASC is a focal chord of the parabola y^(2)=4ax and AS=5,SC=9 , then length of latus rectum of the parabola equals

If focal distance of point P on y^(2) = 4x is 6, then P is

The focal distance of a point P on the parabola y^(2)=12x if the ordinate of P is 6, is

If PQ is a focal chord of a parabola y^(2)=4x if P((1)/(9),(2)/(3)) , then slope of the normal at Q is

A point P is such that its perpendicular distance from the line y – 2x + 1 = 0 is equal to its distance from the origin. Find the equation of the locus of the point P.