Q71.If the circles x2 + y2 −16x −20y + 164 = r2 and (x −4)2 + (y −7)2 = 36 intersect at two distinct points, then: (1) r > 11 (2) 0 < r < 1 (3) 1 < r < 11 (4) r = 11
What This Question Tests
This question tests the conditions for two circles to intersect at two distinct points, requiring the calculation of their centers and radii, and then applying inequalities based on the distance between centers.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = R²
d < R₁ + R₂
d > |R₁ - R₂|
📚 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?
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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?
📋 Question Details
- Chapter
- Circles
- Topic
- Intersection of circles
- Year
- 2019
- Shift
- 09 Jan Shift 2
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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