The pair of linear equations px + 2y - 5 = 0 and 3x + y - 1 = 0 has unique solution if
p=6
For all values of p except p=6
p=0
p has any value
A
p=6
B
For all values of p except p=6
C
p=0
D
p has any value
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Solution
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px+2y−5=0
3x+y−1=0
Here a1=p,b1=2,c1=−5 and a2=3,b2=1,c2=−1
The given pair of linear equation has unique solution if
a1a2≠b1b2
⇒p3≠21
⇒p≠6
Hence the given pair of linear equation has unique solution for all real value of p except 6.
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