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Question 6:
Find the area of the region in the first quadrant enclosed by x-axis, line and the circle
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Question 7:
Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line
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Question 11:
Find the area of the region bounded by the curve y2 = 4x and the line x = 3
Page No 371:
Question 1:
Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y
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Question 3:
Find the area of the region bounded by the curves y = x2 + 2, y = x, x = 0 and x = 3
Page No 375:
Question 1:
Find the area under the given curves and given lines:
(i) y = x2, x = 1, x = 2 and x-axis
(ii) y = x4, x = 1, x = 5 and x –axis
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Question 3:
Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0, y = 1 and y = 4
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Question 6:
Find the area enclosed between the parabola y2 = 4ax and the line y = mx
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Question 7:
Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12
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Question 8:
Find the area of the smaller region bounded by the ellipse and the line
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Question 9:
Find the area of the smaller region bounded by the ellipse and the line
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Question 10:
Find the area of the region enclosed by the parabola x2 = y, the line y = x + 2 and x-axis
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Question 11:
Using the method of integration find the area bounded by the curve
[Hint: the required region is bounded by lines x + y = 1, x – y = 1, – x + y = 1 and – x – y = 11]
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Question 13:
Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A (2, 0), B (4, 5) and C (6, 3)
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Question 14:
Using the method of integration find the area of the region bounded by lines:
2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0
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Question 12:
Area lying in the first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2 is
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Question 13:
Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is
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Question 6:
Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is
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Question 16:
Area bounded by the curve y = x3, the x-axis and the ordinates x = –2 and x = 1 is
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Question 17:
The area bounded by the curve, x-axis and the ordinates x = –1 and x = 1 is given by
[Hint: y = x2 if x > 0 and y = –x2 if x < 0]
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Question 18:
The area of the circle x2 + y2 = 16 exterior to the parabola y2 = 6x is