Let A be the point of intersection of the lines L₁: (x - 7)/1 = (… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 2Cross Product

Let A be the point of intersection of the lines $L_1 : \frac{x - 7}{1} = \frac{y - 5}{0} = \frac{z - 3}{-1} \quad \text{and} \quad L_2 : \frac{x - 1}{3} = \frac{y + 3}{4} = \frac{z + 7}{5}$ Let B and C be the points on the lines $L_1$ and $L_2$ , respectively, such that $AB = AC = \sqrt{15}$ . Then the square of the area of the triangle ABC is:

A
$54$
B
$63$
C
$57$
D
$60$

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