Q70.Let C be the circle with center at (1, 1) and radius = 1. If T is the circle centered at (0, y), passing through the origin and touching the circle C externally, then the radius of T is equal to (1) 1 (2) 1 2 4 (3) √3 (4) √3 √2 2
What This Question Tests
This question tests the understanding of circle properties, specifically the relationship between centers and radii of two externally touching circles, combined with basic circle equation knowledge.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = r²
Distance formula
C1C2 = r1 + r2 for external tangency
📚 NCERT Sections This Tests
2.4 — A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 × 10–7C
Physics Class 11 · Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle, condition for touching circles
- Year
- 2014
- Shift
- 06 Apr
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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