What are the intercepts of the boundary line for \(3x+y\le 15\)?

Correct answer: \((5,0)\) और \((0,15)\)

The boundary line of the inequality is \(3x+y=15\). For the \(x\)-intercept, put \(y=0\): \(3x=15\), so \(x=5\). For the \(y\)-intercept, put \(x=0\): \(y=15\). Hence, the intercepts are \((5,0)\) and \((0,15)\). In option B, the two values are interchanged. Exam tip: To find intercepts of a line, set one variable to zero at a time.