Question

The lines 2x + y – 1 = 0, ax + 3y – 3 = 0 and 3x + 2y – 2 = 0 are concurrent for

• A. All a
• B. a = 4 only
• C. – 1 £ a £ 3
• D. a > 0 only

Answer 1

Answer: (A)

All a

Answer 2

Given lines are Concurrent, if $\left| \begin{matrix} 2 & 1 & –1 \\ a & 3 & –3 \\ 3 & 2 & –2 \end{matrix} \right|$= 0

This is true for all values of 'a', because column II & III are identical.