TS EAMCET · Maths · Three Dimensional Geometry
If a plane \(x+y+z-5=0\) intersects the line joining \(\mathrm{A}(1,1,1)\) and \(\mathrm{B}(2,2,2)\) at \(\mathrm{P}\) then \(\mathrm{AP}: \mathrm{PB}=\)
- A 1 : 2
- B 2 : 3
- C 3 : 2
- D 2 : 1
Answer & Solution
Correct Answer
(D) 2 : 1
Step-by-step Solution
Detailed explanation
Since, required ratio is \[ \begin{aligned} & =-\left(\frac{1+1+1-5}{2+2+2-5}\right) \\ & =-\left(\frac{-2}{1}\right)=\frac{2}{1} \text { or } 2: 1 \end{aligned} \]
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