Except for the following questions, all the remaining questions have been asked in Set I.
*Q, 1. Determine value (s) of p for which the quadratic equation 
 has real roots. 
              Ans. 
Q. 8. For what value of c, the following system of linear equations have infinite number of solutions: Ans. 
 
              Ans. (c = 6) 
Q. 10. Find the values of k so that 
 is a factor of polynomial 
                  Ans. (k = 2/3, -1/3) 
Q. 14. Prove that: 
Q. 20. Without using the trigonometric tables, evaluate the following: 
              
              Ans. 
Q. 21. A conical vessel whose internal radius is 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the water rises in the cylindrical vessel. 
                  Ans. (2 cm)