Three lines 3x - y = 2, , ,5x + ay = 3 and 2x + y = 3 are concurr… - Vidyadip

MCQ

Three lines $3x - y = 2,\,\,5x + ay = 3$ and $2x + y = 3$ are concurrent, then $a $=

A
$2$
B
$3$
C
$-1$
✓
$-2$

✓

Answer

Correct option: D.

$-2$

d
(d) $\left| {\,\begin{array}{*{20}{c}}3&{ - 1}&{ - 2}\\5&a&{ - 3}\\2&1&{ - 3}\end{array}\,} \right| = 0$

==> $3( - 3a + 3) + 1( - 15 + 6) - 2(5 - 2a) = 0$

==> $a = - 2$.

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