A tangent and a normal to a curve at the point `(x, y)` make equal intercepts on the x-axis and they-axis respectively. Find the curve which passes through the point `(1, 1)`

Find the equation of a line which passes through the point (1,3) and makes equal intercepts on X and Y -axis.

Find the equation of a line which passes through the point (1,3) and makes equal intercepts on X and Y -axis.

The tangent at any point (x,y) of a curve makes an angle tan -1(2x+3y) with x-axis. Find the equation of the curve if it passes through (1,2).

The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x+3y) with x-axis. Find the equation of the curve if it passes through (1,2).

The tangent at any point (x,) of a curve makes an angle tan ^(-1)(2x+3y) with x -axis. Find equation of the curve if it passes through (1,2).

Find the equation of the curve such that the portion of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1,2).