Q70.Choose the correct statement about two circles whose equations are given below: x2 + y2 −10x −10y + 41 = 0 x2 + y2 −22x −10y + 137 = 0 (1) circles have same centre (2) circles have no meeting point (3) circles have only one meeting point (4) circles have two meeting points
What This Question Tests
This question assesses the understanding of properties of circles, specifically determining their centers and radii, and then using the distance between their centers and sum/difference of radii to ascertain their relative positions.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = r²
d = √((x₂-x₁)² + (y₂-y₁)²)
|r₁-r₂| < d < r₁+r₂
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Circles
- Topic
- Position of Two Circles
- Year
- 2021
- Shift
- 18 Mar Shift 1
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (brief mention); Class 12 Mathematics NCERT Exemplar for advanced concepts
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