53.Find the area of the region enclosed between the two circles x2Â + y2Â = 1 andÂ
The equations of two circles are x2 + y2 = 1    ...(1) and   ...(2) Centre of circle (1) is O(0, 0) and radius OA = 1  Centre of circle (2) is  and radius CB = 1 Subtraction (1) from (2), we get,             Putting  in (1), we get,              points of intersection of circles (1) and (2) are  and Required area = Area of region APCQA         = 2[area of region APCA] = [area of region CMPC + area of region MAPM]                                                  Â
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Short Answer Type
54.Find the area of the region bounded by two parabola 4 y = x2 and 4 x = y2
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Long Answer Type
55.Find the area included between the two curves y2Â = 9x and ,x2Â = 9y. Also draw the rough sketch.
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Short Answer Type
56.
Calculate the area of the region bounded by the y = x2 and x = y2.
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Long Answer Type
57.Draw a graph of y2Â = 16 x and x2Â = 16y, and evaluate the area between them.
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58.Find the area of the region included between the parabolas y2Â = 4 a x and x2Â = 4 a y, a > 0. Â Â
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59.Draw the rough sketch of y2Â = x + 1 and y2Â = - x + 1 and determine the area enclosed by the two curves.
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60.Find the area of the region {(x, y): 0 ≤ y ≤ x2 + 1 , 0 ≤ y ≤ x + 1, 0 ≤ x ≤ 2}.
Long Answer Type
  ...(2)
 and radius CB = 1
 in (1), we get,
 points of intersection of circles (1) and (2) are 
 and 
Short Answer Type
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