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 are of the rhombus is (A) `8sqrt(3)` sq.units (B) `4sqrt(3)` sq.units (C) `6sqrt(3)` sq.units (D) none of these

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

A rhombus is inscribed in the region common to the two circle x^(2)+y^(2)-4x-12=0 and x+y-4x-12=012 its vertices on the line joining the centres of the circles.The area of the rhombous is?

Area of the region bounded by the curve y^2=4x , y-axis and the line y=3 is (A) 2 sq. units (B) 9/4 sq. units (C) 6sqrt(3) sq. units (D) none of these

Area of the region bounded by the curve y^2=4x , y-axis and the line y=3 is (A) 2 sq. units (B) 9/4 sq. units (C) 6sqrt(3) sq. units (D) none of these

Area enclosed by the curve (y-sin^(- 1)x)^2=x-x^2 , is (A) pi/2 sq.units (B) pi/4 sq.units (C) pi/8 sq.units (D) none of these

Area enclosed by the curve (y-sin^(-1)x)^(2)=x-x^(2), is (A) (pi)/(2) sq.units (B) (pi)/(4) sq.units (C) (pi)/(8) sq.units (D) none of these

The area enclosed by 2|x|+3|y|<=6 is (a) 3 sq.units (b) 4 sq.units (c)12 sq.units (d) 24 sq.units

The area of the triangle formed by the line x=3,y=4 and x=y is (a) sq.unit (b) 1 sq.unit (c)2sq .unit (d) None of these

The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is (a) 12sqrt(3) sq units (b) 6sqrt(3) sq units (c) 8sqrt(3) sq units (d) 4sqrt(3) sq units

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 6 sq. units (B) 2 sq. units (C) 3 sq. units (D) 4 sq. units