The slope of the tangent at any arbitrary point of a curve is twice the product of the abscissa and square of the ordinate of the point. Then, the equation of the curve is (where c is an arbitrary constant)

The slope of normal at any point P of a curve (lying in the first quadrant) is reciprocal of twice the product of the abscissa and the ordinate of point P. Then, the equation of the curve is (where, c is an arbitrary constant)

The slope of normal at any point P of a curve (lying in the first quadrant) is reciprocal of twice the product of the abscissa and the ordinate of point P. Then, the equation of the curve is (where, c is an arbitrary constant)

The curve in which the slope of the tangent at any point equal the ratio of the abscissa to the ordinate of the point is

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is :

The slope of the tangent to the curve at any point is the reciprocal of four times the ordinate at that point. The curve passes through (2, 5). Find the equation of the curve.

The x-intercept of the tangent at any arbitrary point of the curve a/(x^2)+b/(y^2)=1 is proportional to (a)square of the abscissa of the point of tangency (b)square root of the abscissa of the point of tangency (c)cube of the abscissa of the point of tangency (d)cube root of the abscissa of the point of tangency

Slope of the tangent to a curve at any point is twice the x coordinate of the point. If the curve passes through the point (1,4), find its equation.