Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202012 Oct 2020Morning ShiftMathematicsArea Under CurvesActual

The area of the region bounded by the parabola y²=8 x and its latus rectum is

Options

  1. A16 3 sq. units
  2. B8 3 sq. units
  3. C32 3 sq. units
  4. D4 3 sq. units

Correct answer

C. 32 3 sq. units

Step-by-step solution

We have parabola y ²=8 x 4 a =8 a =2 Hence coordinates of latus rectum are =( a , 2 a ) i.e. (2,4) and (2,-4) Required area is shaded in figure. aligned A &=2 ₀² 8 x d x=4 2 ₀² x^ 1 2 d x &=4 2 [ x^ 3 2 ( 3 2 ) ]₀²= 8 2 3 (2 2 )= 32 3 aligned

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