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NTA Abhyas JEE Main2020MathematicsDifferential EquationsPractice

If the order of the differential equation of the family of circles touching the x -axis at the origin is k , then 2 k is equal to

Correct answer

2

Step-by-step solution

The equation of the family is x 2 + y - r 2 = r 2 i.e. only one arbitrary constant. Hence, the order of its differential equation will be ' 1 ' ∴ 2 k = 2

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