Find the equation of the curve passing through the point, (5,4) if the sum of reciprocal of the intercepts of the normal drawn at any point P(x,y) on it is 1.

Find the equation of a curve passing through the point (1.1) if the perpendicular distance of the origin from the normal at any point P(x,y) of the curve is equal to the distance of P from the x-axis.

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

Find the equation of the curve passing through the point (-2,3) given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

Find the equations of the line which passes through the point (3,4) and the sum of its intercepts on the axes is 14 .

Find the equation of the line passing through the point (1,3), if its y-intercept is 3 times its x-intercept.

Find the equation of a curve passing through the point (0,1) .If the slope of the tangent to the curve at any point (x,y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of the curve passing through the origin if the middle point of the segment of its normal from any point of the curve to the x- axis lies on the parabola 2y^(2)=x

Find the equation of the curve passing through the point (0,0) and whose slope of the normal at a point (x, y) is equal to the sum of the ordinate and the product of the abscissa and ordinate of that point.

Find the eqution of the curve passing through the point (1,1), if the tangent drawn at any point P(x,y) on the curve meets the coordinate axes at A and B such that P is the mid point of AB.