Mathematics · 2016
JEE Main · 10 April 2016, Shift 1 · Q85
Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are a, b, c and (a + b + c)/4 respectively, then the…
Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are $\displaystyle \vec{a}, \vec{b}, \vec{c}$ and $\displaystyle \frac{\vec{a}+\vec{b}+\vec{c}}{4}$ respectively, then the position vector of the orthocentre of this triangle, is :
Official answer
(4)
$\displaystyle \frac{(\vec{a}+\vec{b}+\vec{c})}{2}$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.