Question:medium
A point C lies on the perpendicular bisector of the straight-line segment joining the points A(-3,-6) and B(13,-6). If the point C lies in the first quadrant and the distance between the point C and the midpoint of AB is 8 units, then the coordinates of C are
A point C lies on the perpendicular bisector of the straight-line segment joining the points A(-3,-6) and B(13,-6). If the point C lies in the first quadrant and the distance between the point C and the midpoint of AB is 8 units, then the coordinates of C are
Show Hint
Recognizing that a segment is horizontal or vertical can drastically simplify geometry problems. Here, knowing AB is horizontal (\(y_1 = y_2\)) tells you immediately that the bisector is vertical (\(x = \text{const}\)).
Updated On: Jun 24, 2026
- (5,1)
- (5,2)
- (5,3)
- (5,4)
- (5,5)
Show Solution
The Correct Option is B
Solution and Explanation
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