JEE Advanced 2024 Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced 2024

A straight line drawn from the point , parallel to the line , intersects the plane at the point . Another straight line which passes through and is perpendicular to the plane intersects the plane at the point . Then which of the following statements is (are) TRUE?

Answer: (A),(C)

Solution

Points of the first line: . On : , so and – (A) TRUE. The normal to is ; points of the second line: . On : $2(2+s)-(5-s)+(3+3s) = -4 ⇒ 2+6s = -4

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Question ID VK-034220