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Question

Let p is the p.v of the orthocenter and g is the p.v of the centroid of the triangle ABC where circumcentre is the origin. If p = Kg, then K=

A
3
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B
2
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C
1/3
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D
2/3
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Solution

The correct option is A 3

UsetheconceptofPositionvector:

LetObeafixedorigin,thenpositionvectorofPis

Centroidisintersectionof x1+x2+x33,y1+y2+y33

sothatinatriangleABCtheorthocentreH,centroidGandcircumcentreMarecollinearandGdividesHMinternallyintheration2:1

g=2×M+1×P3

P=3g

k=3


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