Home
Class 12
MATHS
If BC is a latus rectum of parabola y^(2...

If BC is a latus rectum of parabola `y^(2) = 4ax` and A is the vertex, then the minimum length of the projection of BC on a tangent drawn in the portion BAC is

A

2

B

4

C

`2sqrt(3)`

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

BC is latus rectum of a parabola y^(2)=4ax and A is its vertex, then minimum length of projection of BC on a tangent drawn in portion BAC is

Let PQ be the latus rectum of the parabola y^2 = 4x with vetex A. Minimum length of the projection of PQ on a tangent drawn in portion of Parabola PAQ is

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 :

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

Find the length of latus rectum of the parabola y^(2) = - 10 x

The length of the latus rectum of the parabola x^(2) = -28y is

Find the length of latus rectum of the parabola x^(2)=4x-4y .

L L ' is the latus rectum of the parabola y^2 = 4ax and PP' is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium P P^(prime)L L ' is maximum when the distance P P ' from the vertex is a//9.

The parabola y^(2) = 2ax passes through the point (-2,1) .The length of its latus rectum is

Find the area bounded by the parabola y^2 = 4ax and its latus rectum.