The relation between K1 and K2 for which the system of linear equations K1x + 3y = 8 and 4x + K2y = 16 represents coincident lines, is:
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. K2 = 3K1.
The given equations are K1x + 3y = 8 and 4x + K2y = 16
We know that, for the coincident lines
K1/4 = 3/K2 = 8/16
K1/4 = 3/K2 = 1/2
Now,
⇒ K1/4 = 1/2
⇒ K1 = 2
⇒ 3/K2 = 1/2
⇒ K2 = 6
Thus, K2 = 3K1