Question:
The ratio in which the join of (2, 1, 5) and (3, 4, 3) is divided by the plane x + y − z = 12 is:
The ratio in which the join of (2, 1, 5) and (3, 4, 3) is divided by the plane x + y − z = 12 is:
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Use section parameter t for line–plane intersection problems.
Updated On: Mar 19, 2026
- 3:5
- 5:7
- 1:3
- 4:5
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The Correct Option is B
Solution and Explanation
Parametric point on the join:
(2+t,1+3t,5-2t)
Substitute in plane equation:
(2+t)+(1+3t)-(5-2t)=\tfrac12
⟹ 6t-2=\tfrac12
⟹ t=(5)/(12)
Hence,
AP:PB=(5)/(12):(7)/(12)=5:7
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