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Let P be a point interior to the acut...

Let `P` be a point interior to the acute triangle `A B Cdot` If `P A+P B+P C` is a null vector, then w.r.t traingel `A B C ,` point `P` is its a. centroid b. orthocentre c. incentre d. circumcentre

A

centroid

B

orthocentre

C

incentre

D

circumcentre

Text Solution

Verified by Experts

The correct Answer is:
a
`veca - vecp + vecb - vecp + vecc -vecp =0`
`or vecp = (veca + vecb + vecc)/3`
Hence, P is centroid .
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