Q66.Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point (3, 2) and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point (5, 5) is : (1) 2√2 (2) 4√2 (3) 4 (4) 5
What This Question Tests
This question involves finding the equation of a circle given its radius and tangency conditions with lines parallel to coordinate axes, and then calculating the shortest distance from an external point to this circle.
Concepts Tested
Formulas Used
(x-h)^2 + (y-k)^2 = r^2
Distance between two points
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle
- Year
- 2024
- Shift
- 05 Apr Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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