IMPORTANT M.C.Q.

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

In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

In figure Cm and RN are respectively the medians of DeltaA B C and DeltaP Q R . If DeltaA B C ~DeltaP Q R , prove that: (i) DeltaA M C ~DeltaP N R (ii) (C M)/(R N)=(A B)/(P Q) (ii) DeltaC M B ~DeltaR N Q

If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A is equal to (a)(p^3+q^3)/(p q) (b) (p^3-q^3)/(p q) (c) (p^2+q^2)/2 (d) (p q)/2

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 .

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)

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 .

In A B C , points P and Q are on C A and C B , respectively such that C A=16 c m , C P=10 c m , C B=30 c m and C Q=25 c m . Is P Q ||A B ?

In Fig. 4.136, A C B A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m and A P=2. 8 c m , find C A and A Q . (FIGURE)