The area of the triangle formed by the positive `x-` axis`` and the normal and tangent to the circle `x^2+y^2=4` at `(1,sqrt(3))` is (a)`2sqrt(3)s qdotu n i t s` (b) `3sqrt(2)s qdotu n i t s` (c)`sqrt(6)s qdotu n i t s` (d) none of these

The area of the triangle formed by the positive x-axis with the normal and the tangent to the circle x^2 +y^2=4 at (1, sqrt(3)) is

The area of the triangle formed by the positive x-axis with the normal and the tangent to the circle x^2 +y^2=4 at (1, sqrt(3)) is

Using integration, find the area of the triangle formed by positive x-axis and tangent and normal to the circle x^(2) + y^(2) =4 at ( 1, sqrt3) .

The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is 12sqrt(3)s qdotu n i t s 6sqrt(3)s qdotu n i t s 8sqrt(3)s qdotu n i t s (d) 4sqrt(3)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

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

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

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 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 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