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For a family of curves, the order equals the number of:
ACoordinate axes
BIntersection points
CArbitrary constants
DIndependent variables
Answer & Solution
Correct answer: C. Arbitrary constants
1. A family of curves is described by an equation with constants.
2. Eliminating those constants produces a differential equation.
3. Its order matches the number of arbitrary constants.
_Source: NCERT Class 12 Mathematics Part II, Chapter 9, Differential Equations._
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