Application of ...

The area bounded by the circles $$x^{2} + y^{2} = r^{2}, r = 1, 2$$ and the rays given by $$2x^{2} - 3xy - 2y^{2} = 0, y > 0$$ is

The area bounding by $$y = 2 - |2 - x|$$ and y = $$\frac { 3 }{ |x| } $$ is :

The area enclosed between the curves $$y=ax^2$$ and  $$x=ay^2(a>0)$$ is $$1$$ sq.unit, then the value of $$a$$ is

The area inside the parabola $$5x^2-y=0$$ but outside the parabola $$2x^2-y+9=0$$, is

Area bounded by the curve $$y= sin^{-1}x, y-axis$$ and $$y = cos^{-1}x$$ is equal to 

The area is bounded by $$x+x_1, y=y_1$$ and $$y=-(x+1)^2$$. Where $$x_1, y_1$$ are the values of $$x, y$$ satisfying the equation $$sin^{-1} x +sin^{-1} y = -\pi$$ will be (nearer to origin)

The area of the region bounded by x = 0, y = 0, x = 2, y = 2, $$y\le { e }^{ x }$$ and $$y\ge \ell n$$ x, is

The area of the figure bounded by the curves $$y=\ln nx $$ & $${(\ln nx)}^{2}$$ is 

The area of the triangle formed by the lines joining the vertex of the parabola $$x^2 = 12y$$ to the ends of its latus rectum is-

The area bounded by curves $$y=\left|x\right|-1$$ and $$y=-\left|x\right|+1$$ is