What is the area of an equilateral triangle inscribed in a circle of unit radius? `3sqrt(3)\ s qdotu n i t s` (b) `(3sqrt(3))/2\ s qdotu n i t s` (c) `(3sqrt(3)\ )/4\ s qdotu n i t s` (d) `(3sqrt(3))/(16)\ s qdotu n i t s`

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

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

What is the area of the shaded region? (FIGURE) 32-4 pi s qdotu n i t s (b) 32-8 pi s qdotu n i t s (c) 16-4 pi s qdotu n i t s (d) 16-8 pi s qdotu n i t s

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 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

The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is 16pi s qdotu n i t s (b) 4pi s qdotu n i t s (c) 6pi s qdotu n i t s (d) 8pi s qdotu n i t s

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

The area bounded by the curve y^2=1-x and the lines y=(|x|)/x ,x=-1,a n dx=1/2i s 3/(sqrt(2))-(11)/6s qdotu n i t s (b) 3sqrt(2)-(11)/4s qdotu n i t s 6/(sqrt(2))-(11)/5s qdotu n i t s (d) none of these

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

The value of the parameter a such that the area bounded by y=a^2x^2+a x+1, coordinate axes, and the line x=1 attains its least value is equal to 1/4s qdotu n i t s (b) 1/2s qdotu n i t s 3/4s qdotu n i t s (d) -1s qdotu n i t s