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

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 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 curve y=f(x) in the first quadrant is such that the y - intercept of the tangent drawn at any point P is equal to twice the ordinate of P If y=f(x) passes through Q(2, 3) , then the equation of the curve is

A curve in the first quadrant is such that the slope of OP is twice the slope of the tangent drawn at P to the curve, where O is the origin and P is any general point on the curve. If the curve passes through (4, 2), then its equation is

The slope of the tangent to the curve y =sqrt(9-x^(2)) at the point where ordinate and abscissa are equal, is

The curve for which the slope of the tangent at any point is equal to the ration of the abcissa to the ordinate of the point is

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:

A curve passing through the point (1,2) and satisfying the condition that slope of the normal at any point is equal to the ratio of ordinate and abscissa of that point , then the curve also passes through the point

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 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.