The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis 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

Suppose a curve whose sub tangent is n times the abscissa of the point of contact and passes through the point (2, 3). Then

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,

The slope of a curve at each of its points is equal to the square of the abscissa of the point. Find the particular curve through the point (-1,1).

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.

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

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 A Bdot The curve passes through the point (1,1). Determine the equation of the curve.

The curve is such that the length of the perpendicular from the origin on the tangent at any point P of the curve is equal to the abscissa of Pdot Prove that the differential equation of the curve is y^2-2x y(dy)/(dx)-x^2=0, and hence find the curve.

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: