# If the Lines X + Q = 0, Y − 2 = 0 and 3x + 2y + 5 = 0 Are Concurrent, Then the Value of Q Will Be - Mathematics

MCQ

If the lines x + q = 0, y − 2 = 0 and 3x + 2y + 5 = 0 are concurrent, then the value of q will be

• 1

• 2

• 3

• 5

#### Solution

3

The lines x + q = 0, y − 2 = 0 and 3x + 2y + 5 = 0 are concurrent.

$\therefore \begin{vmatrix}1 & 0 & q \\ 0 & 1 & - 2 \\ 3 & 2 & 5\end{vmatrix} = 0$

$\Rightarrow 1\left( 5 + 4 \right) - 0 + q\left( 0 - 3 \right) = 0$

$\Rightarrow 3q = 9$

$\Rightarrow q = 3$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 23 The straight lines
Q 28 | Page 135