Q70.The number of common tangents to the circles x2 + y2 −4x −6y −12 = 0 and x2 + y2 + 6x + 18y + 26 = 0 , is (1) 4 (2) 1 (3) 2 (4) 3
What This Question Tests
This question involves determining the number of common tangents between two circles by calculating their centers, radii, and the distance between their centers to compare with the sum/difference of radii.
Concepts Tested
Formulas Used
(x-h)^2 + (y-k)^2 = r^2
Distance formula d = sqrt((x2-x1)^2 + (y2-y1)^2)
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📋 Question Details
- Chapter
- Circles
- Topic
- Common tangents
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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