A) A fixed point
B) A variable point
C) Origin
D) None of these
Correct Answer: A
Solution :
[a] Let line is \[\frac{x}{a}+\frac{y}{b}=1\] and \[\frac{1}{a}+\frac{1}{b}=\lambda \Rightarrow \frac{1}{\lambda a}+\frac{1}{\lambda b}=1\] \[\frac{x}{a}+\frac{y}{b}=\frac{1}{\lambda a}+\frac{1}{\lambda b}\] \[\frac{1}{a}\left( x-\frac{1}{\lambda } \right)+\frac{1}{b}\left( y-\frac{1}{\lambda } \right)=0\] lines always passes through \[\left( \frac{1}{\lambda },\frac{1}{\lambda } \right)\]You need to login to perform this action.
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