CUET · MATHS · PYQ PAPER 2023
A plane meets the coordinates axes at A, B and C such that centroid of \(\triangle A B C\) is at the point (2, 3, 1). If the equation of the plane is 3x + 2y + 6z = k, then k is:
- A 3
- B 18
- C 1
- D 0
Answer & Solution
Correct Answer
(B) 18
Step-by-step Solution
Detailed explanation
A \( = (k/3, 0, 0) \), \( B = (0, k/2, 0) \), \( C = (0, 0, k/6) \) Centroid \( = \left( \frac{k/3 + 0 + 0}{3}, \frac{0 + k/2 + 0}{3}, \frac{0 + 0 + k/6}{3} \right) = \left( \frac{k}{9}, \frac{k}{6}, \frac{k}{18} \right) \) Equating with \( (2, 3, 1) \):…
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