1.  If A and B are square matrices of the same order such that AB = A and BA = B, then A and B are both.

2. If , then at x = 0 the function is

3. The general solution of a differential equation of first order represents-

4. A particular solution of a differential equation represent

5. The envelope of the family of curves represented by a differential equation of first order is called its-

6. The singular solution of the differential equation y = px + p – p³ is given by

7. . The orthogonal trajectories of the rectangular hyperbola xy = c² are given by-

8. The equation 8ap³ = 27y has a singular solution given by

9. The differential equation of the orthogonal trajectories of the system of parabolas y = ax² is-

10. Dispersion are not calculated about