Home
Class 11
MATHS
If the parabola y^(2) = 4ax passes throu...

If the parabola `y^(2) = 4ax` passes through the point (3,2), then the length of its latus rectum is ……

A

`(2)/(3)`

B

`(4)/(3)`

C

`(1)/(3)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|6 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

IF the parabola y^2=4ax passes through (3,2) then the length of latusrectum is

The graph of 2x - 3y = 6 passes through points .......

The locus of the mid-point of the focal radii of avariable point moving on the parabola, y^2= 4ax is C, then the length of latus rectum of C, is

A circle cuts the parabola y^2=4ax at right angles and passes through the focus , show that its centre lies on the curve y^2(a+2x)=a(a+3x)^2 .

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Radius of the circle touching the parabola y^2=4x at the point P and passing through its focus is

Consider the parabola y^2 = 8x. Let Delta_1 be the area of the triangle formed by the end points of its latus rectum and the point P( 1/2 ,2) on the parabola and Delta_2 be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. Delta_1/Delta_2 is :

Find the equation of the parabola whose axis is parallel to Y-axis and which passes through the point (0,4),(1,9) and (-2,6) . Also, find its latusrectum.

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=12x .

Let P be a point whose coordinates differ by unity and the point does not lie on any of the axes of reference. If the parabola y^2=4x+1 passes through P , then the ordinate of P may be

An equilateral triangle is inscribed in the parabola y^(2) = 4ax , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.