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

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

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 (a) 2sq units (b) 4sq units (c) 6sq units (d) 8sq units

If one side of a rhombus has endpoints (4, 5) and (1, 1), then the maximum area of the rhombus is 50 sq. units (b) 25 sq. units 30 sq. units (d) 20 sq. units

The area of the quadrilateral formed by the tangents at the endpoint of the latus rectum to the ellipse (x^2)/9+(y^2)/5=1 is (A) 27/4 sq. unit (B) 9 sq. units (C) 27/2 sq. unit (D) 27 sq. unit

In "DeltaA B C","B C"=1,sin"A"/2="x"_1,sin"B"/2="x"_2cos"A"/2="x"_3 and cosB/2=x_4w i t h(x ?1/(x_2))^(2007)-((x_3)/(x_4))^(2006)=0 Length of side AC is equal to: 1/2 (b) 1 (c) 2 (d) cant be determined If /_A=90^0,t h e na r e aof A B C is 1/2 sq. units (b) 1/3 sq. units 1 sq.. units (d) 2 sq. units

The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then the area of the bounded region is (a) 200sq.u n i t s (b) 400sq.u n i t s (c) 800sq.u n i t s (d) 500sq.u n i t s

A variable line x/a + y/b = 1 moves in such a way that the harmonic mean of a and b is 8. Then the least area of triangle made by the line with the coordinate axes is (1) 8 sq. unit (2) 16 sq. unit (3) 32 sq. unit (4) 64 sq. unit

The area of the closed figure bounded by y=(x^2)/2-2x+2 and the tangents to it at (1,1/2) and (4,2) is (A) 9/8 sq.unit (B) 3/8 sq.units (C) 3/2 sq.units (D) 9/4 sq.units

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

AB is a chord of x^2 + y^2 = 4 and P(1, 1) trisects AB. Then the length of the chord AB is (a) 1.5 units (c) 2.5 units (b) 2 units (d) 3 units