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Question

Find the points on the line x+y=7 at a distance of 5 units from P(1,3).

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Solution

Point is (1,3)
Distance is 5
x+y=7tanθ=11sinθ=12cosθ=12
The required point is (x1±rsinθ,y1±rcosθ)(1±512,3±512)(152,3±52)

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