A) \[(K,\,\,K)\]
B) \[\left( \frac{1}{K},\,\,\frac{1}{K} \right)\]
C) \[(-K,\,\,-K)\]
D) \[(K-1,\,\,K-1)\]
Correct Answer: B
Solution :
Let the equation of the line be\[\frac{x}{a}+\frac{y}{b}=1\] ... (i) Its intercepts on\[y\]and\[x\]axes are\[b\]and\[a\]respectively. According to the question, \[\frac{1}{a}+\frac{1}{b}=\]constant\[=K\](say) \[\therefore \] \[\frac{1}{aK}+\frac{1}{bK}=1\] \[\Rightarrow \] \[\frac{1/K}{a}+\frac{1/K}{b}=1\] ... (ii) From (ii) it follows that line (i) passes through the fixed point\[\left( \frac{1}{K},\,\,\frac{1}{K} \right)\].You need to login to perform this action.
You will be redirected in
3 sec