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Question

On comparing 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
Coincident
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C
Parallel
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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+80....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.
Option A is correct.

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