Mathematics · 2022
JEE Main · 26 July 2022, Shift 1 · Q28
The equations of the sides AB, BC and CA of a triangle ABC are 2 x+y=0, x+ p y=15 a and x-y=3 respectively. If its orthocentre is (2, a ),-1/2< a <2,…
The equations of the sides AB, BC and CA of a triangle ABC are $\displaystyle 2 x+y=0, x+\mathrm{p} y=15 \mathrm{a}$ and $\displaystyle x-y=3$ respectively. If its orthocentre is $\displaystyle (2, \mathrm{a}),-\frac{1}{2}<\mathrm{a}<2$, then p is equal to
\_\_\_\_.
Official answer
3
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.