A curve having the condition that the slope of the tangent at some point is two times the slope of the straight line joining the same point to the origin of coordinates is a/an

A curve having the condition that the slope of tangent at some point is two times the slope of the straight line joining the same point to the origin of coordinates is a//an -

Find the slope of the line joining the two given points (a,0) and (0,b)

Find the slope of a line joining the points (5, sqrt(5)) with origin

The slope of the tangent at any point on a curve is lambda times the slope of the line joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.

Show that the slope of adiabatic curve at any point is lamda times the slope of an isothermal curve at the corresponding point.

Show that the slope of adiabatic curve at any point is Yama times the slope of an isothermal curve at the corresponding point.

x- If tangent drawn to the curve f(x)=x^3-9x-1 at P(x_o,f(x_o)) meets the curve again at Q.If m_A denotes the slope of tangent at A and m_op denotes the slope of the line joining O origin and a point B on the curve then: which of the following is/are correct:

A curve passes through the point (-2, 1) and at any point (x, y) of the curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (-4, -3). Find the equation of the curve.