The value of c for which the pair of equations cx-y=2 and 6x-2y=3 will have infinitely many solution is a) 3 b)-3 c)-12 d) no value correct answer will be marked as brainiest
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answer : D)no value
as c/6=(-1)/(-2)=2/3
but 1/2 is not equal to 2/3.
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The value of c for which the pair of equations cx-y=2 and 6x-2y=3 will have infinitely many solution is a) 3 b)-3 c)-12 d) no value correct answer will be marked as brainiest
Thanks it is a brilliant question
Condition for infinitely many solutions
a1a2=b1b2=c1c2 ...(i)
The given lines are cx−y=2 and 6x−2y=3
Here, a1=c,b1=−1,c1=−2
and a2=6,b2=−2,c2=−3
From Eq. (i), c6=−1−2=−2−3
Here, c6=12 and c6=23
⇒ c=3 and c=4
Since, c has different values.
Hence, for no value of c the pair of equations will have infinitely many solutions .
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