Introduction to 3-D Geometry

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Question

If the points A,B,C,D are collinear and C,D divide AB in the ratios 2:3, -2:3 respectively, then the ratio in which A divides  CD is

Moderate
Solution

m:n=2:3, A divides CD¯ in the ratio nm:n+m


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 A(0,2,3),B(2,1,5),C(3,0,3) are vertices of ΔABC. If a,b,c are HG, GS, SH then their  increasing order is (H,G, S are orthocentre,  centroid and circumcentre)

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