AP EAMCET · Maths · Three Dimensional Geometry
If the line passing through the points \((5,1, a)\) and \((3, b, 1)\) crosses the YZ plane at the point \(\left(0, \frac{17}{2}, \frac{-18}{2}\right)\), then \(a+b=\)
- A 12
- B 10
- C 8
- D 4
Answer & Solution
Correct Answer
(B) 10
Step-by-step Solution
Detailed explanation
Equation of line through \((5,1, a)\) and \((3, b, 1)\) is \(\frac{x-5}{(5-3)}=\frac{y-1}{1-b}=\frac{z-a}{a-1}=\lambda\) (say) Since this line passess through \(\left(0, \frac{17}{2}, \frac{-13}{2}\right)\) Hence \(\frac{0-5}{5-3}=\lambda \Rightarrow \lambda=-\frac{5}{2}\)…
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