Q83.Let the centre of a circle, passing through the points (0, 0), (1, 0) and touching the circle x2 + y2 = 9, be (h, k) . Then for all possible values of the coordinates of the centre (h, k), 4 (h2 + k2) is equal to_________
What This Question Tests
This question tests the ability to form the equation of a circle given points it passes through and then apply the condition for tangency between two circles to find properties of its center.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = r²
Distance formula: √((x₂-x₁)² + (y₂-y₁)² )
Condition for touching circles: C₁C₂ = |r₁ ± r₂|
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle, conditions for tangency
- Year
- 2024
- Shift
- 09 Apr Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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