AP EAMCET · Maths · Three Dimensional Geometry
The line segment joining the points \(A(2,3,4)\) and \(B(-3,5,-4)\) intersects \(y z\)-plane at the point
- A \(\left(0, \frac{19}{5}, \frac{4}{5}\right)\)
- B \((0,4,5)\)
- C \(\left(9, \frac{14}{5}, 4\right)\)
- D \((0,0,0)\)
Answer & Solution
Correct Answer
(A) \(\left(0, \frac{19}{5}, \frac{4}{5}\right)\)
Step-by-step Solution
Detailed explanation
Let \(y z\)-plane intersects the line joining points \(A(2,3,4)\) and \(B(-3,5,-4)\) in the ratio \(\lambda: 1\) at point \(M\), then \(M\left(\frac{-3 \lambda+2}{\lambda+1}, \frac{5 \lambda+3}{\lambda+1}, \frac{-4 \lambda+4}{\lambda+1}\right)\) \(\because\) On \(y z\)-plane,…
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