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 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

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

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

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 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

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 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

A rhombus is inscribed in the region common to the two circles x^2+y^2-4x-12=0 and x^2+y^2+4x-12=0 with two of its vertices on the line joining the centers of the circles. The area of the rhombus is (a) 8sqrt(3)s qdotu n i t s (b) 4sqrt(3)s qdotu n i t s 6sqrt(3)s 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

A straight line passing through P(3,1) meets the coordinate axes at Aa n dB . It is given that the distance of this straight line from the origin O is maximum. The area of triangle O A B is equal to (50)/3s qdotu n i t s (b) (25)/3s qdotu n i t s (20)/3s qdotu n i t s (d) (100)/3s qdotu n i t s

Area of the triangle formed by the line x+y=3 and the angle bisectors of the pairs of straight lines x^2-y^2+2y=1 is 2s qdotu n i t s (b) 4s qdotu n i t s 6s qdotu n i t s (d) 8s qdotu n i t s