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Let A -= (3, 2) and B-= (5, 1) . ABP...

Let ` A -= (3, 2) ` and ` B-= (5, 1) ` . ABP is an equilateral triangle is constructed one the side of AB remote from the origin then the orthocentre of triangle ABP is :

A

`( 4- (1)/(2)sqrt(3), (3)/(2) - sqrt(3) )`

B

`( 4+(1)/(2)sqrt(3), (3)/(2) + sqrt(3) )`

C

`(4- (1)/(6) sqrt(3) , (3)/(2) - (1)/(3) sqrt(3) )`

D

`(4+(1)/(6) sqrt(3) , (3)/(2) + (1)/(3) sqrt(3) )`

Text Solution

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The correct Answer is:
D
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