Let P be a point in the..... | JEE Main 2026 28 Jan Shift 2

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JEE MAIN 2026

28-01-2026 S2

Question

Let $P$ be a point in the plane of the vectors $\overrightarrow{A B}=3 \hat{i}+\hat{j}-\hat{k}$ and $\overrightarrow{A C}=\hat{i}-\hat{j}+3 \hat{k}$ such that $P$ is equidistant from the lines AB and AC. If $|\overrightarrow{A P}|=\frac{\sqrt{5}}{2}$, then the area of the triangle ABP is:

Select the correct option:

A

2

B

$\frac{3}{2}$

C

$\frac{\sqrt{26}}{4}$

D

$\frac{\sqrt{30}}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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