JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

Three lines , and through the origin have direction ratios ; and respectively. Column I: (i) if (ii) is perpendicular to the plane if (iii) lies in the plane if (iv) , and form three mutually perpendicular lines if Column II: (a) (b) (c) (d)

Answer: (3)

Solution

Use , , .

**(i)** : → (b).

**(ii)** plane and : , and $2 + m + 2n = 0 ⇒ n =

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Question ID VK-110441