CUET · MATHS · PYQ PAPER 2023
If the line drawn from the point (-2, -3, -4) meets a plane at right angle at the point (1, -2, 4), then equation of plane is:
- A 3x + y - 8z - 33 = 0
- B 3x + y + 6z - 33 = 0
- C 3x - y + 8z - 33 = 0
- D 3x + y + 8z - 33 = 0
Answer & Solution
Correct Answer
(D) 3x + y + 8z - 33 = 0
Step-by-step Solution
Detailed explanation
Normal vector \( \vec{n} = (1 - (-2), -2 - (-3), 4 - (-4)) = (3, 1, 8) \) Equation of plane: \( 3(x - 1) + 1(y - (-2)) + 8(z - 4) = 0 \) \( 3x - 3 + y + 2 + 8z - 32 = 0 \) \( 3x + y + 8z - 33 = 0 \)
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