Application of ...

The area (in sq. units) in the  first quadrant bounded by the parabola, $$y = x^2 + 1$$, the tangent to it at the point $$(2, 5)$$ and the coordinate axes is:-

The area of the region bounded by $$y=\left | x-1 \right | and \,\,y=1 $$ is

The area of the region
$$A=[(x,y):0\le y\le x|x|+1$$ and $$-1\le x\le 1]$$ in sq . units is :

The slope of the tangent to the curve y =f(x) at a point (x, Y) is 2x + 1 and the curve passes through (1, 2) The area of the region bounded by the curve, the x-axis and the line x= 1 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 (in sq. units) of the region  $$\{ { x },{ y }):{ y }^{ { 2 } }\geq 2{ x }$$  and  $$x ^ { 2 } + y ^ { 2 } \leq 4 x , x \geq 0 , y \geq 0 \}$$  is :

The area of the region  $$\left\{ ( x , y ) : x ^ { 2 } + y ^ { 2 } \leq 1 \leq x + y \right\}$$  is

The area of the region bounded by the parabola y = $$x^2$$ 3x with y 0 is

The area of the quadrilateral formed by the tangents at the endpoints of the latus recta to the ellipse, $$\dfrac{x^{2}}{9}+\dfrac{y^{2}}{5}=1$$ is 

The area bounded by the curves $$x+2|y|=1$$ and $$x=0$$ is?