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Question

Question 8
The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
(A) 3
(B) – 3
(C) –12
(D) no value

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Solution

Answer - D

Condition for infinitely many solutions
a1a2=b1b2=c1c2
The given lines are cx – y = 2 and 6x – 2y = 3
Here, a1=c, b1=1, c1=2and a2=6 b2=2, c2=3
from eq.(i). c6=12=23

c6=12 and c6=23 c=3 and c=4

c has two different values when two different relations are considered.

Hence, for no value of c the pair of equations will have infinitely many solutions.


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