Q69.A circle passes through the points (2, 3) and (4 , 5). If its centre lies on the line, y −4x + 3 = 0, then its radius is equal to (1) √5 (2) 1 (3) √2 (4) 2
What This Question Tests
This question involves finding the equation of a circle given two points it passes through and a line its center lies on, testing the concept that the perpendicular bisector of a chord passes through the center.
Concepts Tested
Formulas Used
Equation of perpendicular bisector
Distance formula for radius
(x-h)² + (y-k)² = r²
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle
- Year
- 2018
- Shift
- 15 Apr Shift 1 Online
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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