Q70.The tangent to the circle C1 : x2 + y2 −2x −1 = 0 at the point (2, 1) cuts off a chord of length 4 from a circle C2 whose centre is (3, −2). The radius of C2 is (1) √6 (2) 2 (3) √2 (4) 3
What This Question Tests
The problem tests the ability to find the equation of a tangent to one circle and then use it as a chord for another circle, applying the relationship between chord length, radius, and distance from the center.
Concepts Tested
Formulas Used
Equation of tangent at (x1, y1): xx1 + yy1 + g(x+x1) + f(y+y1) + c = 0
Length of chord L = 2√(r² - d²)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangent to a circle, Length of chord
- Year
- 2018
- Shift
- 15 Apr Shift 2 Online
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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