Question:medium
Let \( A(0,0) \) and \( B(8,0) \) be two vertices of a right angled triangle whose hypotenuse is \( BC \). If the circumcentre is \( (4,2) \), then the point \( C \) is:
Let \( A(0,0) \) and \( B(8,0) \) be two vertices of a right angled triangle whose hypotenuse is \( BC \). If the circumcentre is \( (4,2) \), then the point \( C \) is:
Show Hint
For right triangles, the circumcentre always lies at the midpoint of the hypotenuse — a very useful shortcut.
Updated On: May 8, 2026
- \( (2,4) \)
- \( (0,8) \)
- \( (0,4) \)
- \( (0,6) \)
- \( (2,8) \)
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Coordinate Geometry
- Two circles with centers $O_1$ and $O_2$ touch externally. The radius of the first circle is 4 cm and the second is 9 cm. The distance between their centers is 13 cm. Find the length of the direct common tangent.
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Find the coordinates of the point which divides the line segment joining \((2, -3)\) and \((7, 9)\) in the ratio \(3:2\).
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
