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Step-by-step explanation:
G
Given :- pair of equation as 3x+4y+2 =0 and 9x +12y+k = 0
∵ Equation of line = ax+by +c
∴ For line ,3x+4y +2 = 0
Assume , a₁ = 3 , a ₂ = 4 and c₁ = 2
similarly for line , 9x+12y +k
assume , a₂ = 9 , b₂ = 12 and c₂ = k
We know that , for coincident lines ,there will be infinite solution .
∵ [For infinite solution] , a₁/a₂ = b₁/b₂ = c₁/c₂
- ∴ 3/9 = 12/4 = 2/k
- 1/3 = 1/3 = 2/k
- 1/3 = 2/k
- k = 6 Answer
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2
Answer:
K= 6
...................
hence option C is the correct answer
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