Except for the following questions, all the remaining questions have been asked in Set I & Set II.
Q. 4. For what value of k, the following system of linear equations have infinite number of solutions: 
 
              Ans. (K = 4)
Q. 6. Find the values of k so that 
is a factor of 
                  Ans. ( K = -3, k = 1) 
Q. 10. Find the GCD and LCM of the following polynomial: 
              
                  Ans. 
                  Or 
                If 
is GCD of 
, find the value of b. 
              Ans. (B = 4) 
Q.11. Simplify: 
              Ans. (1) 
Q. 17. Draw a circle of 3.5 cm radius. From a point P on the circle draw a tangent to the circle without using its centre.
Q. 20. TP is tangent and PAB is secant to a circle. If the bisector of 
 meets AB at M, prove that PT = PM. 
Q. 21. If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally, prove it. 
              Use the above to solve the following:
              In 
if AC=4.8cm, find AE. 
              Ans. (1.8 cm)