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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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a
a,b,c
b
c,b,a
c
b,a,c
d
b,c,a

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detailed solution

Correct option is C

AB2+CA2=BC2; ∠A=90triangle is right angle triangle orthocentre=H=(0,2,3)G=centroid=(0+2+3/3,2-1+0/3,3+5-3/3)S=circumcentre =mid point of hypotenuse

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