Home
Class 12
MATHS
Find the area of the parabola y^2 = ...

Find the area of the parabola `y^2 = 4ax` bounded by its latus reactum ,

Text Solution

Verified by Experts

The correct Answer is:
`8/3 a^2`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( SHORT ANSWER TYPE QUESTIONS)|15 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( LONG ANSWER TYPE QUESTIONS)|8 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE -8|20 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the parabola y^2 =4ax and its latus rectum is …Sq. units.

The area of the region bounded by the parabola y^2 = 4ax and its latus retrurn is 24 Sq. units . Then a =……….. .

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.

If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2 +(y+2)^2=r^2 , then the value of r^2 is

Find the area enclosed between the parabola y^2 = 4 ax and the line y= mx .

Find the area of the region between the parabolas y^2 =4ax and x^2 = 4ay , (a gt 0)

Find the length of the line-segment joining the vertex of the parabola y^(2) = 4ax and a point on the parabola where the line - segment makes an angle theta to the X - axis.

The common tangent to the parabola y^2=4ax and x^2=4ay is