JEE Advanced 2024 Paper 2 Mathematics Q6

Mathematics

Problem

A straight line drawn from the point P(1, 3, 2), parallel to the line (x − 2)/1 = (y − 4)/2 = (z − 6)/1, intersects the plane L₁ : x − y + 3z = 6 at the point Q. Another straight line which passes through Q and is perpendicular to the plane L₁ intersects the plane L₂ : 2x − y + z = −4 at the point R. Then which of the following statements is (are) TRUE?

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