Q76.The differential equation of the family of circles passing through the points (0, 2) and (0, −2) is (1) 2xy dxdy + (x2 −y2 + 4) = 0 (2) 2xy dxdy + (x2 + y2 −4) = 0 (3) 2xy dxdy + (y2 −x2 + 4) = 0 (4) 2xy dxdy −(x2 −y2 + 4) = 0 →
What This Question Tests
This question tests the ability to form the differential equation of a family of circles passing through two given points by first writing the general equation of such circles and then eliminating the arbitrary constant through differentiation.
Concepts Tested
Formulas Used
General equation of a circle (x-h)² + (y-k)² = r²
Equation of circle passing through (x₁,y₁) and (x₂,y₂): (x-x₁)(x-x₂)+(y-y₁)(y-y₂)+λ(y-y₁)=0 for vertical chord or general S+λL=0
📚 NCERT Sections This Tests
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.
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?
6.11 — Dynamics Of Rotational
Physics Class 11 · Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
📋 Question Details
- Chapter
- Differential Equations
- Topic
- Formation of differential equations
- Year
- 2022
- Shift
- 28 Jul Shift 2
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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