Q56.The circle passing through the intersection of the circles, x2 + y2 −6x = 0 and x2 + y2 −4y = 0 having its centre on the line, 2x −3y + 12 = 0, also passes through the point : (1) (–1, 3) (2) (–3, 6) (3) (–3, 1) (4) (1, –3)
What This Question Tests
This question involves finding the equation of a circle that passes through the intersection of two given circles and whose center lies on a specific line, and then checking which point lies on this new circle.
Concepts Tested
Formulas Used
S₁ + λS₂ = 0
Center of circle (-g, -f)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of circle passing through intersection of two circles
- Year
- 2020
- Shift
- 04 Sep Shift 2
- Q Number
- Q56
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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