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Question

The pair of linear equations 3x+5y=3,6x+ky=8 do not have any solution if

A
k=5
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B
k=10
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C
k10
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D
k5
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Solution

The correct option is C k=10
The equation are
3x+5y3=0 ....(1)
6x+ky8=0 .....(2)
Here, a1=3,b1=5,c1=3
and a2=6,b2=k,c2=8
The given system has no solution if
a1a2=b1b2c1c2
36=5k38
3k=30k=10

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