Engineering
Mathematics
Introduction to Determinants
Question
If the lines 2x – ay + 1 = 0, 3x – by + 1 = 0, 4x – cy + 1 = 0 are concurrent then a, b, c are in ?
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Solution
2x – ay + 1 = 0, 3x – by + 1 = 0, 4x – cy + 1 = 0
Given lines are concurrent
⇒ 2b – a – c = 0
⇒ 2b = a + c
Hence, a,b,c are in A.P.
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