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The area of the smaller region bounded by circle `x^2+y^2=1` and `|y|=x+1` (a)`pi/2-1/2s qdotu n i t s` (b) `pi/2-1s qdotu n i t s` (c) `pi/2s qdotu n i t s` (d) `pi/2 +1s qdotu n i t s`

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Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s qdotu n i t s (b) pia^2s qdotu n i t s 3pia^2s qdotu n i t s (d) None of these

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx is (a) 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

The area of the region of the plane bounded by max(|x|,|y|)lt=1 and x ylt=1/2 is (a) 1/2+ln2 s qdot u n i t s (b) 3+ln2 s qdot u n i t s (c) (31)/4 s qdot u n i t s (d) 1+2ln2 s qdot u n i t s

The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is 2/e s qdotu n i t s (b) 1-2/e s qdotu n i t s 1/e s qdotu n i t s (d) 1-1/e s qdotu n i t s

The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s qdotu n i t s (b) (a^2)/4s qdotu n i t s (3a^2)/4s qdotu n i t s (d) (a^2)/(12)s qdotu n i t s

The area of the region containing the points (x , y) satisfying 4lt=x^2+y^2lt=2(|x|+|y|) is (a) 8s qdotu n i t s (b) 2s qdotu n i t s (c) 4pis qdotu n i t s (d) 2pis qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=-2a n dx=6 is (a) 9/4s qdotu n i t s (b) 4/3s qdotu n i t s (c) 5/4s qdotu n i t s (d) 7/3s qdotu n i t s

The area of the closed figure bounded by y=(x^2)/2-2x+2 and the tangents to it at (1,1/2)a n d(4,2) is 9/8s qdotu n i t s (b) 3/8s qdotu n i t s 3/2s qdotu n i t s (d) 9/4s qdotu n i t s

The area enclosed between the curve y^2(2a-x)=x^3 and the line x=2a above the x-axis is (a) pia^2s qdotu n i t s (b) (3pia^2)/2s qdotu n i t s (c) 2pia^2s qdotu n i t s (d) 3pia^2s qdotu n i t s

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