Q69.If a circle C , whose radius is 3, touches externally the circle x2 + y2 + 2x −4y −4 = 0 at the point (2, 2), then the length of the intercept cut by this circle C on the x-axis is equal to (1) 2√3 (2) √5 (3) 3√2 (4) 2√5
What This Question Tests
This question requires finding the equation of a circle given its radius and a point of external tangency with another circle, and then calculating the length of the intercept made by this circle on the x-axis.
Concepts Tested
Formulas Used
(x-h)^2 + (y-k)^2 = r^2
Distance between centers = r1 + r2
Length of x-intercept = 2 * sqrt(g^2 - c)
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of circle
- Year
- 2018
- Shift
- 16 Apr Online
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Circles)
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