If the area of the triangle included between the axes and any tangent to the curve `x^n y=a^n` is constant, then find the value of `ndot`

Find the area included between y^(2) =9x and y=x

If the sub-normal at any point on y=a^(1-n)x^n is of constant length, then find the value of ndot

Find the area of the region included between the parabola y^2=x and the line x+y=2 .

If n arithmetic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200. Then find the value of ndot

Find the area of the triangle formed by the staight line 2x - 3y = 6 with the coordinate axes .

If the number of terms in the expansion of (x+y+z)^n are 36, then find the value of ndot

Let y=f(x) be a curve passing through (1,1) such that the triangle formed by the coordinate axes and the tangent at any point of the curve lies in the first quadrant and has area 2. Form the differential equation and determine all such possible curves.

The area enclosed between the curves y=x and x^(2) =y is equal to-

Prove that the area of the triangle formed by any tangent to the hyperbola xy=c^(2) and the coordinate axes is constant.

Find the area of the triangle formed by the staright line 2x-3y=6 with coordinate axes,