Areas of Standard Curves

JEE Main Mathematics · Area Under the Curve · 6 questions, latest first

• The area of the region enclosed between the circles x^2+y^2=4 and x^2+(y-2)^2=4 is:202623 January, Shift 2 · Q20
• The area of the region, inside the ellipse x^2+4 y^2=4 and outside the region bounded by the curves y=|x|-1 and y=1-|x|, is:202621 January, Shift 1 · Q18
• If the area of the larger portion bounded between the curves x^2+y^2=25 and y=|x-1| is 1/4( b π+c), b, c ∈ N, then b+c is equal…202523 January, Shift 1 · Q22
• The area (in square units) of the region enclosed by the ellipse x^2+3 y^2=18 in the first quadrant below the line y=x is20249 April, Shift 2 · Q10
• The area (in sq. units) of the part of the circle x^2+y^2=169 which is below the line 5 x-y=13 is (π α)/(2 β)-65/2+(α)/(β)…202429 January, Shift 1 · Q25
• Let A={(x, y) ∈ R^2: y ≥ 0,2 x ≤ y ≤ √(4-(x-1)^2)} and B={(x, y) ∈ R × R: 0 ≤ y ≤ min {2 x, √(4-(x-1)^2)}}. Then the ratio of the…202329 January, Shift 1 · Q69