M.C.Q.

If p and q are positive integers such that L.C.M.of p&q is 360 and the total possible number of ordered pairs (p,q) is then the ramainder when N is divided by 6, is

If H.C.F. of p and q is x and q=x y , then the L.C.M. of p and q is p q (b) q y (c) x y (d) p y

For the following system shown assume that pulley is frictionless, string is massless (m remains on M), Q. Normal reaction on m is (force on C due to B)

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

A B C is a triangle and P Q is a straight line meeting A B in P and A C in Q . If A P=1c m , P B=3c m , A Q=1. 5 c m , Q C=4. 5 m , prove that area of A P Q is one-sixteenth of the area of A B C .

In Fig. 4.177, A C B A P Q . If B C=10 c m , P Q=5c m , B A=6. 5 c m and A P=2. 8 c m find C A and A Q . Also, find the area ( A C B): a r e a ( A P Q) . (FIGURE)