Question

Find out the value of c for which the pair of equations cx – y = 2 and 6x – 2y =4 will have infinitely many solutions. अगर दिए गए रेखीय समीकरणों के युग्म cx – y = 2 और 6x – 2y = 4 के अनंत अनेक हल हो तो c का मूल्य पता करें। *

(A) 3

(B) – 3

(C) –12

(D) 4​

Answer 1

Answer:

value of c is 3, so that the pair of equations have infinite many solutions.

Step-by-step explanation:

We know that,

For two linear equations to heave infinitely many roots,

a1/a2=b1/b2=c1/c2

cx-y=2 6x-2y=4

comparing with ax+by=c.

a1=c a2=6

b1= -1 b2= -2

c1=2 C2=4

a1/a2=c/6

b1/b2=-1/-2=1/2

c1/c2=2/4=1/2

since,

a1/a2=b1/b2=c1/c2

c/6=1/2=1/2

so, c/6=1/2

c=1/2×6

c=3

∴ For c value is 3, the given system of equations have infinitely many solutions.