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

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

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

lf a quadrilateral is formed by four tangents to the ellipse x^2/9+y^2/4=1 then the area of the square is equal to

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

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

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

If the area of the triangle formed by the points (1,2) (2,3) and a,4) is 8 sq. units find a.

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 (in sq. units) bounded by the parabola y=x^2-1 , the tangent at the point (2,3) to it and the y-axis is