If the points `(p ,\ q),\ (m ,\ n)` and `(p-m ,\ q-n)` are collinear, show that `p n=q m` .

If the points (p,q),(m,n) and (p-m,q-n) are collinear,show that pn=qm.

If vec p xxvec q = vec m xxvec n and vec p xxvec m = vec q xxvec n show that vec p-vec n is parallel to vec q-vec m where vec p! = Vec n and vec q! = Vec m

In the following question , the symbols @ , c , $, % and * are used with the following meanings as illustrated below : 'P © Q' means P is not smaller than Q 'P ** Q' means P is not greater than Q. 'P @ Q' means P is neither greater than nor equal to Q. 'P$ Q' means P is neither smaller than nor equal to Q 'P % Q' means P is neither greater than nor smaller than Q. Statement : K**D , D$N , N%M , M© W. Conclusion : M@K II N@K III M@D IV W**N

if a G.P (p+q) th term =m and (p-q) th term =n, then find its p th term

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 Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

If the A.M. between p^(th) and q^(th) terms of an A.P. , be equal to the A.M., between m^(th) and n^(th) terms of the A.P. , then show that p + q = m + n .