Write the nature of the following linear pair of equations.(Intersecting, parallel I) 2x + 3y-9 = 0 ; 4x + 6y -18 =0 II) x-2y = 0 ; 3x + 4y – 20 = 0
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The given pair of linear equation can be written as
2ax+by−a=0 and 4ax+2by−2a
Here, a1=2a,b1=b,c1=−a
And a2=4a,b2=2b,c2=−2a
∴a2a1=4a2a=21 and b2b1=2bb=21 and c2c1=−2a−a=21
Here, a2a1=b
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