A) \[\frac{{{c}^{2}}}{ab}\]
B) \[\frac{{{c}^{2}}}{2ab}\]
C) \[\frac{{{c}^{2}}}{{{a}^{2}}b}\]
D) \[\frac{c}{{{b}^{2}}a}\]
Correct Answer: B
Solution :
The equation is:\[ax+by=c\] Putting,\[x=0,\,\,by=c\Rightarrow y=\frac{c}{b}\] Putting,\[y=0,\,\,ax=c\Rightarrow x=\frac{c}{a}\] Clearly,\[OA=\frac{c}{a},\,\,OB=\frac{c}{b}\] \[\therefore \]\[ar(OAB)=\frac{1}{2}OA\times AB\] \[=\frac{1}{2}\times \frac{c}{a}\times \frac{c}{b}=\frac{{{c}^{2}}}{2ab}\]You need to login to perform this action.
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