Q67.A circle cuts a chord of length 4 a on the x -axis and passes through a point on the y -axis, distant 2 b from the origin. Then the locus of the centre of this circle, is: (1) a hyperbola (2) an ellipse (3) a straight line (4) a parabola
What This Question Tests
This question requires setting up the equation of a circle based on given chord length and a passing point, using properties of chords, and then deriving the locus of its center.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = r²
r² = d² + (L/2)²
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Circles
- Topic
- Locus of center of circle
- Year
- 2019
- Shift
- 11 Jan Shift 2
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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