JEE Advanced · Mathematics · 12. Circle
A circle S passes through the point (0, 1) and is orthogonal to the circles and . Then
- A Radius of S is 8
- B Radius of S is 7
- C Centre of S is (-7, 1)
- D Centre of S is (-8, 1)
Answer & Solution
Correct Answer
(C) Centre of S is (-7, 1)
Step-by-step Solution
Detailed explanation
Given circles
Radical axis ......(i)
Centre of circle lies on (i)
Let the centre be
Let equation be
Orthogonallity gives
.......(ii)
Hence radius
Alternate Solution
Given circles
Let equation of circle
Circle passes through (0, 1)
Applying condition of orthogonality
centre
Radical axis ......(i)
Centre of circle lies on (i)
Let the centre be
Let equation be
Orthogonallity gives
.......(ii)
Hence radius
Alternate Solution
Given circles
Let equation of circle
Circle passes through (0, 1)
Applying condition of orthogonality
centre
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