The number of possible straight lines passing through point(2,3) and forming a triangle with coordiante axes whose area is 12 sq. unit is: a. one b. two c. three d. four

Options

A. one
B. two
C. three
D. four

Explanation

To solve the problem, we need to find the number of possible straight lines passing through the point (2, 3) that form a triangle with the coordinate axes with an area of 12 square units.

### Step-by-Step Solution:

1. **Understanding the Area of the Triangle**:
The area \( A \) of a triangle formed by the x-axis, y-axis, and a line is given by the formula:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
...