Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20242 May 2024Evening ShiftMathematicsArea Under CurvesActual

The area (in sq. units) bounded by the curves y= x , 2 y-x+3=0, X -axis and lying in the first quadrant is

Options

  1. A36
  2. B18
  3. C27 4
  4. D9

Correct answer

D. 9

Step-by-step solution

aligned Required area & = ₀^9 x ~d x- ₃^9 ( x-3 2 ) d x & = [ 2 x^ 3 / 2 3 ]₀^9- 1 2 [ x^2 2 -3 x ]₃^9 & = 2 3 (27-0)- 1 2 (36-18) & =9 sq.units 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