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Question

On comparing the ratios a1a2,b1b2 and c1c2, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident.
5x4y+8=0;7x+6y9=0

A
Intersect at a point
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B
Parallel
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C
Coincident
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D
None of these
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Solution

The correct option is A Intersect at a point
The given linear equation are
5x4y+8=0....eq1
a1=5,b1=4,c1=8
7x+6y9=0...eq2
a2=7,b2=6,c2=9
a1a2=57
b1b2=46
c1c2=89
comparing
a1a2,b1b2,c1c2
a1a2b1b2
Hence,the line represented by eq1 and eq2 intersect at a point


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