38. In `/_\ ABC`, `/_B=90^@`, AB=`4sqrt5`, `BD_|_AC`, AD=4,then `ar(/_\ ABC)` is
(A)120sq units (B)80sq units (C)40sq units (D)20sq units

3x - 2y + 1 = 0 and 2x - y = 0 are the equation of the sides AB and AD of the parallelogram ABCD and the equation of a diagonal of the parallelogram is 5x - 3y - 1 = 0 . The area of the parallelogram ABCD is : (A) 2 sq. units (B) 4 sq. units (C) 6 sq. units (D) 8 sq. units

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

If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1 intersects the major and minor axes in points A and B respectively, then the area of DeltaOAB is equal to (A) 12 sq. untis (B) 24 sq. units (C) 48 sq. units (D) 64 sq. units

In the given figure, A B C D is a rectangle with A D=4 units and A E=E BdotE F is perpendicular to D B and is half of D F . If the area of the triangle D E F is 5 sq. units, then what is the area of A B C D ? 18sqrt(3) sq. units (b) 20 sq. units (c) 24 sq. units (d) 28 sq. units

Let AB be the chord 4x-3y+5=0 of the circle x^2+y^2-2x+4y-20 = 0.If C =(7, 1) then the area of triangle ABC is: (A) 15 sq unit (B) 20 sq unit (C) 24 sq unit (D) 45 sq unit

The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. units (B) 31/7 sq. units (C) 32/3 sq. units (D) 34/3 sq. units

The area bounded by the parabola y=(x+1)^2 and y=(x-1)^2 and the line y=1/4 is (A) 4 sq. units (B) 1/6 sq. units (C) 3/4 sq. units (D) 1/3 sq. units

Let A-=(-4, 0), B -= (-1, 4). C and D are points which are symmetric to points A and B respectively with respect to y-axis, then area of the quadrilateral ABCD is (A) 8 sq units (B) 12 sq. units (C) 20 sq. units (D) none of these

In Fig.3, the area of triangle ABC( in sq.units ) is :

The area of the region enclosed by the curves y=x, x=e, y=1/x and the positive x-axis is (A) 3/2 sq. units (B) 5/2 sq. units (C) 1/2 sq. units (D) 1 sq. units