Home
Class 12
MATHS
A focal chord for parabola y^(2)=8(x+2) ...

A focal chord for parabola `y^(2)=8(x+2)` is inclined at an angle of `60^(@)` with positive x-axis and intersects the parabola at P and Q. Let perpendicular bisector of the chord PQ intersects the x-axis at R, then the distance of R from focus is :

A

`(8)/(3)`

B

`(16sqrt(3))/(3)`

C

`(16)/(3)`

D

`8sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|1 Videos

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|3 Videos

  • MATRICES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|4 Videos

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8x +16 . If two intersection points of the given line and the parabola are A and B such that perpendicular bisector of AB intersects the x-axis at P then length of PS is

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

The line joining P(-4, 5) and Q(3, 2) intersects the y-axis at point R. PM and QN are perpendiculars from P and Q on the x-axis. Find: the co-ordinates of R.

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

The line joining P(-4, 5) and Q(3, 2) intersects the y-axis at point R. PM and QN are perpendiculars from P and Q on the x-axis. Find: the ratio PR : RQ

The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the equation of the directrix.

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

A tangent is drawn to the parabola y^(2)=8x at P(2, 4) to intersect the x-axis at Q, from which another tangent is drawn to the parabola to touch it at R. If the normal at R intersects the parabola again at S, then the coordinates of S are

The length of the chord of the parabola y^(2) = 12x passing through the vertex and making an angle of 60^(@) with the axis of x is

PQ is a chord ofthe parabola y^2=4x whose perpendicular bisector meets the axis at M and the ordinate of the midpoint PQ meets the axis at N. Then the length MN is equal to