The value of $a$ for which the lines
$2 x + y - 1 = 0 a x + 3 y - 3 = 0 3 x + 2 y - 2 = 0$
are concurrent:

0

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2

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97

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\frac{3}{41}

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Solution

The correct option is D $\frac{3}{41}$
Lines are concurrent if $∣ ∣ ∣ ∣ \begin{matrix} 2 & 1 & - 1 a & 3 & - 3 3 & 2 & - 2 \end{matrix} ∣ ∣ ∣ ∣ = 0$

Since $C_{2}$ and $C_{3}$ are propotional, lines are concurrent for infinite values of $a$

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Similar questions

a

2 x + y - 1 = 0

a x + 3 y - 3 = 0

3 x + 2 y - 2 = 0

77 / 90

2 x + y - 1 = 0, a x + 3 y - 3 = 0

3 x + 2 y - 2 = 0

k x + 2 y + 2 = 0,

2 x + k y + 3 = 0,

3 x + 3 y + k = 0

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