A) 2 sq. units
B) \[\frac{3}{2}\] sq. units
C) 6 sq. units
D) 12 sq. units
Correct Answer: C
Solution :
[c] Given line, \[4x+3y-12=0\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{x}{3}+\frac{y}{4}=1\] |
The given cuts X- and V-axes at points \[(3,0)\] and \[(0,4)\] respectively. |
\[\therefore \]Area of \[\Delta AOB=\frac{1}{2}\times OA\times OB\] |
\[=\frac{1}{2}\times 3\times 4=6\,sq.\] units |
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