Home
Class 11
MATHS
Find the area of the triangle formed by ...

Find the area of the triangle formed by the lines joining the vertex of the parabola `x^(2)=12y` to the ends of its latus rectum.

Text Solution

Verified by Experts

The correct Answer is:
`18` sq units
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT BANGLISH|Exercise Exercise 11.4|15 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the lines joingn the vertex of the parabola x^2=24y to the ends of its latus rectum .

Find the area bounded by the parabola x^(2) =12y and its latus rectum

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

Find the vertex of the parabola y = - 2x^(2) + 12 x - 17 .

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

Area of the triangle formed by the vertex, focus and one end of latusrectum of the parabola (x+2)^(2)=-12(y-1) is

Find the focus, the length of the latus rectum and the directrix of the parabola 3x^(2) = 8y

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

If the area of the triangle whose one vertex is at the vertex of the parabola, y^(2) + 4 (x - a^(2)) = 0 and the other two vertices are the points of intersection of the parabola and Y-axis, is 250 sq units, then a value of 'a' is