What are the intercepts of the line \(x+y=6\) on the x-axis and y-axis, respectively?

Correct answer: \((6,0)\) और \((0,6)\)

To find the x-intercept, put \(y=0\), giving \(x=6\) and the point \((6,0)\). To find the y-intercept, put \(x=0\), giving \(y=6\) and the point \((0,6)\). Hence, A is correct. In option B, both coordinates are 3; although \(3+3=6\), those points are not on the respective axes. Exam tip: set \(y=0\) for the x-intercept and \(x=0\) for the y-intercept.