Comprehension

Direction: Consider the following for the items that follow:

Let L : x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P : x + 2y + 3z + 1 = 0 be a plane. 

What is the point of intersection of L and P? 

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. (4, 3, -3)
  2. (4, -3, 3)
  3. (-4, -3, -3)
  4. (-4, -3, 3)

Answer (Detailed Solution Below)

Option 4 : (-4, -3, 3)
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Detailed Solution

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Explanation:

Given:

L = x + y + z + 4 = 0 = 2x – y – z + 8 and

P = x + 2y + 3z + 1 = 0 is a plane.

To find the point of intersection of L and P,

The point must satisfy both line L and plane P and Option (d) (–4, –3, 3) will satisfy both line L and plane P.

So option (d) is the correct answer.

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