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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

Consider the planes and . STATEMENT-1: The parametric equations of the line of intersection of the given planes are , , . STATEMENT-2: The vector is parallel to the line of intersection of given planes.

Answer: (D)

Solution

Direction of the line :

= (12 + 2)Missing argument for \hat\hat i - (-6 + 4)Missing argument for \hat\hat j + (3 + 12)Missing argument for \hat\hat k = 14Missing argument for \hat\hat i + 2Missing argument for \hat\hat j + 15Missing argument for \hat\hat k.

So Statement-2 is **True**.

A point on the line: put : $3x

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Question ID VK-110643