COMEDK · Maths · 34. Three Dimensional Geometry
\(P\) is a point on the line segment joining the points \((3,2,-1)\) and \((6,2,-2)\). If \(x\) coordinate of \(\mathrm{P}\) is 5, then its \(y\) co-ordinate is
- A 2
- B 5
- C 0
- D \(-1\)
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
Let the points be \(A(3, 2, -1)\) and \(B(6, 2, -2)\). The line segment joining \(A\) and \(B\) can be represented by the parametric equations \(x = 3 + (6-3)t = 3 + 3t\), \(y = 2 + (2-2)t = 2\), and \(z = -1 + (-2 - (-1))t = -1 - t\), where \(0 \le t \le 1\). Given that the…
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