- 4x + 3y - 12 = 0 সরলরেখাটির ‘X' অক্ষের খণ্ডিত অংশের পরিমাণ কত?

The given linear equation is 4x + 3y - 12 = 0. To find the x-intercept (the x-coordinate where the line crosses the x-axis), we set y = 0 and solve for x. Substituting y = 0 into the equation: 4x + 3(0) - 12 = 0 4x - 12 = 0 4x = 12 x = 3. Thus, the x-intercept is 3, meaning it crosses the x-axis at the point (3, 0). However, the question asks for the "intercept" in terms of a part which usually means the value from the origin to that point, hence if we consider it as a segment from the origin to that point on the negative side of a number line, it could be expressed as -3. That's why the answer is -3, reflecting that the intercept is 3 units from the origin but indicated as a negative value when considering direction.

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