Mathematics - Circle Question with Solution | TestHub
Match the geometry statements.
Column I | Column II |
|---|---|
(A) Radical axis of two nonconcentric circles | (p) Subtends a right angle at an intersection point |
(B) Common external tangent of intersecting equal-radius circles | (q) Perpendicular to line of centres |
(C) Common chord of intersecting circles | (r) Parallel to line of centres |
(D) Line of centres of orthogonally intersecting circles | (s) Bisected by line of centres |
Options:
Answer:
Solution:
A and C: the radical axis is perpendicular to the line of centres; the line of centres bisects the common chord. B: a common external tangent to intersecting equal-radius circles is parallel to the line joining their centres. D: at an orthogonal intersection, the two radii are perpendicular; the segment between centres therefore subtends a right angle there.
