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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

answer is C.

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Detailed Solution

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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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)