Question : The area of triangle formed by the straight line $3x + 2y = 6$ and the co-ordinate axes is:
Option 1: 3 square units
Option 2: 6 square units
Option 3: 4 square units
Option 4: 8 square units
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Correct Answer: 3 square units
Solution :
The area of a triangle formed by a line and the coordinate axes $=\frac{1}{2} \times \text{base} \times \text{height}$
The line $3x + 2y = 6$
At $y = 0⇒x = \frac{6}{3} = 2$
At $x = 0⇒y = \frac{6}{2} = 3$
So, the base and the height of the triangle are $2$ units and $3$ units respectively.
$\text{Area of the triangle formed} = \frac{1}{2} \times 2 \times 3 = 3$
Hence, the correct answer is 3 square units.
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