Question

The point \( (-2\sqrt{2}, -2) \) lies in which quadrant?

• A. \text{First}
• B. \text{Second}
• C. \text{Third}
• D. \text{Fourth}

Hint:

For a point \( (x, y) \): \[ \begin{array}{cc} \text{Quadrant} & \text{Condition}
\hline \text{First} & (x>0, y>0)
\text{Second} & (x<0, y>0)
\text{Third} & (x<0, y<0)
\text{Fourth} & (x>0, y<0)
\end{array} \]

Answer 1

The Correct Option is C

A point \((x, y)\) lies in:
- First quadrant if \( x>0 \) and \( y>0 \).
- Second quadrant if \( x<0 \) and \( y>0 \).
- Third quadrant if \( x<0 \) and \( y<0 \).
- Fourth quadrant if \( x>0 \) and \( y<0 \).
Here, \( x = -2\sqrt{2}<0 \) and \( y = -2<0 \), so the point lies in the third quadrant.