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 of the closed figure bounded by x=-1, y=0, y=x^(2)+x+1 , and the tangent to the curve y=x^(2)+x+1 at A(1,3) is

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 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

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

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 (in sq. units) bounded by the curves y=x (x-3)^2 and y=x is

The area (in sq. units) of the region bounded by the parabola y=x^2+2" and the lines " y=x+1, x=0 " and " x=3 , is

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