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Question

Given the linear equation 2x+3y8=0, write another linear equation in two variables such that geometrical representation of the pair so formed is
(i) intersecting lines
(ii) Parallel lines
(iii) coincident lines

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Solution

Given line is 2x+3y8=0

(a)example of intersecting line ;
x+y5=0 forms an intersecting line

(b) example for parallel line

Parallel line slopes must be equal

6x+9y+10=0 is parallel to the given line

(c) example of coincident lines

Coincident ratio of coefficient must be equal

4x+6y16=0 coincides with the given line

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