QQuestion
In the given figure, AOB is a right-angled triangle and C is the midpoint of the hypotenuse AB. If the coordinates of C are (x, y), the point equidistant from A, O and B is:
(a) (x, y)
(b) (y, x)
(c) (x/2, y/2)
(d) (2x/3, 2y/3)
ICSEClass XMathematicsSection Formula01 Mark2026 Moderate
✓Answer
(a) (x, y)
Explanation:
In a right-angled triangle, the midpoint of the hypotenuse is equidistant from all three vertices.
Since C is the midpoint of hypotenuse AB:
CA = CO = CB
The coordinates of C are given as (x, y).
Therefore, the point equidistant from A, O and B is (x, y).
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