the pair of linear equations 6x-ky-3=0, kx-24y-2=0 has a unique solution then find k
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let ,
the given system of linear equations are of the form
6x+ky=3 a₁x +b₁y+c₁ = 0
kx-24y=2 a₂x +b₂y+c₂ = 0
the condition for unique solution is a₁/a₂≠ b₁b₂
here ,
a₁ = 6, a₂ = k
b₁ = k,b₂ = -24
6/k ≠k/ -24
⇒6/k*-24≠k^2
-144/kk^2
root of 144/k=k
12 root of kk
hope it helps
tq............/////////
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