Q70.If a circle C passing through the point (4, 0) touches the circle x2 + y2 + 4x −6y = 12 externally at the point (1, −1), then the radius of C is: (1) 4 units (2) 5 units (3) 2√5 units (4) √57 units
What This Question Tests
This question involves finding the properties (center and radius) of a circle that passes through a given point and touches another circle externally at a specified point, utilizing conditions for tangency.
Concepts Tested
Formulas Used
Distance between centers = sum of radii
Equation of a line through two points
📚 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 circle
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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