COMEDK · Maths · 34. Three Dimensional Geometry
P is a point on the line joining the points \((3,5,-1)\) and \((6,3,-2)\). If \(y\) coordinate of point P is 2 , then \(x\) coordinate will be
- A \(-5\)
- B \(\dfrac{9}{2}\)
- C \(\dfrac{15}{2}\)
- D \(\dfrac{3}{2}\)
Answer & Solution
Correct Answer
(C) \(\dfrac{15}{2}\)
Step-by-step Solution
Detailed explanation
Let the points be \(A(3, 5, -1)\) and \(B(6, 3, -2)\). The line passing through \(A\) and \(B\) can be represented in parametric form. Let \(P\) divide the segment \(AB\) in the ratio \(k:1\). The coordinates of \(P\) are given by the section formula:…
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