The answer is GIVEN below :RULE :The two linesa1x + b1y + c1 = 0a2x + B2Y + c2 = 0will REPRESENT two parallel lines, ifa1/a2 = b1/b2SOLUTION :The given lines arekx - 3y + 6 = 04x - 6Y + 15 = 0These two lines be parallel to each other, ifK/4 = (-3)/(-6)⇒ k/4 = 1/2⇒ k = 4/2⇒ k = 2Thus, when k = 2, the two given lines be parallel to each other.Thank you for your question.
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