Q69.The centres of those circles which touch the circle, x2 + y2 −8x −8y −4 = 0, externally and also touch the x - axis, lie on (1) A hyperbola (2) A parabola (3) A circle (4) An ellipse which is not a circle
What This Question Tests
This question involves finding the locus of the center of a circle that touches another circle externally and also touches the x-axis, leading to the identification of a conic section.
Concepts Tested
Formulas Used
(x-h)^2 + (y-k)^2 = r^2
Distance between centers = sum of radii
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📋 Question Details
- Chapter
- Circles
- Topic
- Circles touching other circles and axes
- Year
- 2016
- Shift
- 03 Apr
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (brief mention of circles) AND Class 12 Mathematics Ch 10: Vector Algebra (related to locus in 2D)
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