AP EAMCET · Maths · Straight Lines
For \(\lambda, \mu \in \mathbb{R},(x-2 y-1)+\lambda(3 x+2 y-11)=0\) and \((3 x+4 y-11)+\mu(-x+2 y-3)=0\) represent two families of lines. If the equation of the line common to both the families is \(a x+b y-5=0\), then \(2 a+b=\)
- A 0
- B 1
- C 4
- D 3
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\((x-2 y-1)+\lambda(3 x+2 y-11)=0\) Point of interscetion of family of lines is \((3,1)\). \((3 x+4 y-11)+\mu(-x+2 y-3)=0\) Point of intersection is \((1,2)\). Line common to 2 families is line passing throug \((3,1),(1,2)\).…
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