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Value of k if 3x+2ky=2 and 2x+5y+1=0 are parallel

Answer» 3x + 2ky - 2 = 0 ; 2x + 5y + 1 = 0a₁ = 3 a₂ = 2b₁ = 2k b₂ = 5c₁ = -2 c₂ = 1For parallel lines :-\xa0a₁\xa0 =\xa0 b₁ ≠\xa0 c₁\xa0\xa0a₂ b₂ c₂3\xa0 = 2k ≠ -2\xa02 5 1\xa015 = k 4k ≠ -5
They are in parallel.So, 3/2=2k/5 3*5=2*2k k=15/4=4.25


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