A) \[\frac{{{n}^{2}}}{2|lm|}\]
B) \[\frac{{{n}^{2}}}{|lm|}\]
C) \[\frac{n}{2|lm|}\]
D) \[\frac{{{n}^{2}}}{4|lm|}\]
Correct Answer: A
Solution :
Given lines are (on factorising) \[lx+my=0,\,lx+my+n=0\] \[lx-my=0,\,lx+my-n=0\] Area =\[\left| \frac{({{c}_{1}}-{{d}_{1}})\,({{c}_{2}}-{{d}_{2}})}{({{a}_{1}}{{b}_{2}}-{{a}_{2}}{{b}_{1}})} \right|=\left| \frac{(0-n)\,(0+n)}{(-lm-lm)} \right|=\frac{{{n}^{2}}}{2|lm|}\].You need to login to perform this action.
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