Q64.Let r1 and r2 be the radii of the largest and smallest circles, respectively, which pass through the point (−4, 1) and having their centres on the circumference of the circle x2 + y2 + 2x + 4y −4 = 0. If r1 = a + b√2, then r2 a + b is equal to: (1) 3 (2) 11 (3) 5 (4) 7
What This Question Tests
This problem involves finding the maximum and minimum radii of circles passing through a given point and having their centers on another given circle. It tests the geometrical interpretation of radius as distance and applying distance formula for finding extreme values.
Concepts Tested
Formulas Used
(x-h)^2 + (y-k)^2 = r^2
Distance between two points
📚 NCERT Sections This Tests
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Chemistry Class 11 · Chapter 5
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📋 Question Details
- Chapter
- Circles
- Topic
- Circles passing through a point with center on another circle
- Year
- 2021
- Shift
- 20 Jul Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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