Q70.Two circles with equal radii are intersecting at the points (0,1) and (0,-1) . The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is: (1) 1 (2) 2 (3) 2√2 (4) √2
What This Question Tests
This question involves using geometric properties of two intersecting circles with equal radii and the condition that the tangent at an intersection point of one circle passes through the center of the other, to find the distance between their centers.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = r²
Slope of tangent at (x1, y1) on x²+y²+2gx+2fy+c=0 is (x1+g)x + (y1+f)y + (x1+g)x1 + (y1+f)y1 + c = 0 (or simply slope of radius is -1/slope of tangent)
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📋 Question Details
- Chapter
- Circles
- Topic
- Intersection of circles and tangents
- Year
- 2019
- Shift
- 11 Jan Shift 1
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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