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The orthogonal trajectory of family of curves are given by is arbitrary constant).
If 2x(1 – y) = K and g(x, y) = L are orthogonal family of curves, where K and L are constant then g(x, y) is
If the differential equation of the family of curves is then the differential equation of orthogonal trajectory would be
The orthogonal trajectory for system of curve is
Orthogonal trajectory of is
Find the equation of system of orthogonal trajectories of the parabolas where a is the parameter.
The orthogonal trajectories of the family of curves y = 3x3 + x + c are
The condition for which ax2 + by2 = 1 and a1x2 + b1y2 = 1, shall cut orthogonally is
The orthogonal trajectories for family of parabolas is the
The orthogonal trajectories for the family of circle with centre at x-axis is