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Question

The point where the line x+y=5 touches the y-axis is (0,b) and where it touches the x-axis is (a,0) ,

then a+b =

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Solution

The point where x+y=5 touches the y-axis is obtained by putting x = 0 in the equation and the point where it touches the x-axis is obtained by putting y = 0 in the equation. We get b = 5 and a = 5.

Therefore a + b =10


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