Circle 4 Question 3
3. Two circles with equal radii are intersecting at the points and . The tangent at the point to one of the circles passes through the centre of the other circle. Then, the distance between the centres of these circles is
(2019 Main, 11 Jan I)
(a)
(b)
(c) 1
(d) 2
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Answer:
Correct Answer: 3. (d)
Solution:
- Clearly, circles are orthogonal because tangent at one point of intersection is passing through centre of the other.
Let
Then,
and