Question

The point \( (2\sqrt{7}, -3) \) lies in which quadrant?

• A. First
• B. Second
• C. Third
• D. Fourth

Hint:

The coordinate sign determines the quadrant: - First Quadrant: \( (+, +) \) - Second Quadrant: \( (-, +) \) - Third Quadrant: \( (-, -) \) - Fourth Quadrant: \( (+, -) \)

Answer 1

The Correct Option is D

Step 1: Analyze the given coordinates The point is given as \( (2\sqrt{7}, -3) \). - The \( x \)-coordinate \( 2\sqrt{7} \) is positive. - The \( y \)-coordinate \( -3 \) is negative. Step 2: Determine the quadrant - If \( x>0 \) and \( y>0 \), the point lies in the first quadrant. - If \( x<0 \) and \( y>0 \), the point lies in the second quadrant. - If \( x<0 \) and \( y<0 \), the point lies in the third quadrant. - If \( x>0 \) and \( y<0 \), the point lies in the fourth quadrant. Since \( x>0 \) and \( y<0 \), the point lies in the **fourth quadrant**.