Q67.Let the circle C1 : x2 + y2 −2(x + y) + 1 = 0 and C2 be a circle having centre at (−1, 0) and radius 2 . If the line of the common chord of C1 and C2 intersects the y-axis at the point P, then the square of the distance of P from the centre of C1 is : (1) 2 (2) 1 (3) 4 (4) 6
What This Question Tests
The question tests the ability to find the equation of the common chord of two given circles and then use it to find the intersection with the y-axis, followed by calculating the distance between two points.
Concepts Tested
Formulas Used
S1 - S2 = 0 (equation of common chord)
Distance = √((x₂-x₁)² + (y₂-y₁)²)
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📋 Question Details
- Chapter
- Circles
- Topic
- Common chord of two circles
- Year
- 2024
- Shift
- 05 Apr Shift 2
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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