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Question

Prove that the line through the point (x1,y1) and parallel to the line Ax+By+C=0.
A(xx1)+B(yy1)=0

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Solution

Given line Ax+By+C=0
Slope of given line=AB
Slope of line parallel to given line=AB
Required line is passing through (x1,y1)
(yy1)=AB(xx1)
B(yy1)+A(xx1)=0
Equation of required line is A(xx1)+B(yy1)=0

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