The slope of the tangent to the curve at any point is reciprocal of twice the ordinate of that point. The curve passes through the point `(4, 3)`. Determine its equation.

The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4,3). The equation of the curve is:

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

The slope of a curve, passing through (3,4) at any point is the reciprocal of twice the ordinate of that point. Show that it is parabola.

A curve is such that the slope of the tangent to it at any point P is the product of ordinate of P and abscissa increased by 2. If it passes through (-4, e), then its equation is

IF slope of tangent to curve y=x^3 at a point is equal to ordinate of point , then point is

At any point on a curve , the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point.If the curve passes through (0,1), then the equation of the curve is

The x-intercept of the tangent to a curve is equal to the ordinate of the point of contact. The equation of the curve through the point (1,1) is

A curve C has the property that if the tangent drawn at any point P on C meets the co- ordinate axis at A and B, then P is the mid- point of AB. The curve passen through the point (1,1). Determine the equation of the curve.