Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202019 Oct 2020Evening ShiftMathematicsArea Under CurvesActual

The area of the triangle formed by the lines joining vertex of the parabola x²=12 y to the extremities of its latus rectum is

Options

  1. A38 sq. units
  2. B18 sq. units
  3. C12 sq. units
  4. D28 sq. units

Correct answer

B. 18 sq. units

Step-by-step solution

(D) x²=12 y 4 b=12 b=3 Co-ordinates of latus return are ( 2 b, b) L ₁ (6,3) and L ₂ (-6,3) Coordinates of focus S (0,3) A ( OL ₁ ~L ₂ )= 1 2 12 3=18

Practice Area Under Curves on Quantrex Academy →

More from Area Under Curves

Find the area bounded by the curve y = |2 - x| , the x –axis, and the lines x = 0 and x = 5 2026The area enclosed by the curve y = -x^2 and the line x + y + 2 = 0 is 2026The area of the region bounded by the line y = x + 2 and the curve x = -y^2 is 2026The area of the region in the first quadrant enclosed by the x -axis, the line x = 3 ,y and the circle x^2 + y^2 = 4 is 2026The area of the region bounded by the curve y^2 = x^3 , the y -axis and the lines y = 1 and y = 8 is 2026The area enclosed by the curve x = 3 , y = 3 is 2026The area in square units of the region bounded by the curve y = 16 - x^2 and lines x = 0, x = 4 above the X-axis is 2026The area bounded by the curves y = |x| - 1 and y = -|x| + 1 is 2026 Full Area Under Curves list All MHT CET PYQs