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A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find the coordinates of the points Q and R on medians B E and C F respectively such that B Q : Q E=2:1 and C R : R F=2:1 . What do you observe?

Of (-2,-1),B(a,0),C(4,b) and D(1,2) are the vertices f a parallelogram,find the values of a and b.

The vertices f the triangle are A(5,4,6), B(1,-1,3)n a d C(4,3,2)dot The internal bisector of angle A meets BC at D. Find the coordinates of D and the length AD.

The vertices f the triangle are A(5,4,6),\ B(1,-1,3)n a d\ C(4,3,2)dot The internal bisector of angle A meets BC at D. Find the coordinates of D and the length AD.

If the mappings f and g are given by f = {(1,2),(3,5),(4, 1)}, g= {(2,3), (5, 1), (1,3)}, then write down pairs in the mappings f o g and go f.

If f(x)=tanx and A,B,C are the anlges of /_\ABC, then |(f(A), f(pi/4) f(pi/4)), (f(pi/4), f(B) f(pi/4)), (f(pi/4), f(pi/4) f(C))| = (A) 0 (B) -2 (C) 2 (D) 1

If f(x)=tanx and A,B,C are the anlges of /_\ABC, then |(f(A), f(pi/4) f(pi/4)), (f(pi/4), f(B) f(pi/4)), (f(pi/4), f(pi/4) f(C))|= (A) 0 (B) -2 (C) 2 (D) 1

If the vertices A,B,C of a triangle ABC are A(1,1,8),B(4,-3,-4)and C(-3,1,5) respectively then find angle BAC .