TS EAMCET · Maths · Three Dimensional Geometry
The ratio in which the line joining \((2,-4,3)\) and \((-4,5,-6)\) is divided by the plane \(3 x+2 y+z-4=0\) is
- A 2 : 1
- B 4 : 3
- C -1 : 4
- D 2 : 3
Answer & Solution
Correct Answer
(C) -1 : 4
Step-by-step Solution
Detailed explanation
Let the ratio is \(\lambda: 1\). Equation of plane \(3 x+2 y+z=4\) ...(i) By section formula, coordinates of \(P=\left(\frac{-4 \lambda+2}{\lambda+1}, \frac{5 \lambda-4}{\lambda+1}, \frac{-6 \lambda+3}{\lambda+1}\right)\) which lies on the plane…
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