AP EAMCET · Maths · Three Dimensional Geometry
If \(x\)-coordinate of a point \(P\) on the line joining the points \(Q(2,2,1)\) and \(R(5,1,-2)\) is 4 , then the \(z\)-coordinate of \(P\) is
- A \(-2\)
- B \(-1\)
- C \(1\)
- D \(2\)
Answer & Solution
Correct Answer
(B) \(-1\)
Step-by-step Solution
Detailed explanation
Let \(P\) divide \(Q(2,2,1)\) and \(R(5,1,-2)\) in the ratio of \(m: 1\). \(\therefore \quad P\left(\frac{5 m+2}{m+1}, \frac{m+2}{m+1}, \frac{-2 m+1}{m+1}\right)\) But it is given \(\frac{5 m+2}{m+1}=4\).…
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