The area bounded by the `y=2-x^2a n d\ x+y=0` is (a)`7/2s qdotu n i t s` b. `9/2\ s qdotu n i t s` c. `9\ s qdotu n i t s` d. none of these

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

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 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 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

If the extremities of the base of an isosceles triangle are the points (2a ,0) and (0, a), and the equation of one of the side is x=2a , then the area of the triangle is (a) 5a^2s qdotu n i t s (b) (5a^2)/2s qdotu n i t s (25 a^2)/2s qdotu n i t s (d) none of these

The straight lines 7x-2y+10=0 and 7x+2y-10=0 form an isosceles triangle with the line y=2. The area of this triangle is equal to (15)/7s qdotu n i t s (b) (10)/7s qdotu n i t s (18)/7s qdotu n i t s (d) none of these

The straight lines 7x-2y+10=0 and 7x+2y-10=0 form an isosceles triangle with the line y=2. The area of this triangle is equal to (15)/7s qdotu n i t s (b) (10)/7s qdotu n i t s (18)/7s qdotu n i t s (d) none of these

The area enclosed between the curves y=(log)_e(x+e),x=(log)_e(1/y), and the x-axis is (a) 2s qdotu n i t s (b) 1s qdotu n i t s (c) 4s qdotu n i t s (d) none of these

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 of the loop of the curve a y^2=x^2(a-x) is 4a^2s qdotu n i t s (b) (8a^2)/(15)s qdotu n i t s (16 a^2)/9s qdotu n i t s (d) None of these