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The order of the differential equation of the family of circles touching the y -axis at the origin is k , then the maximum value of y = k cos ⁡ x ∀ x ∈ R is

Correct answer

1

Step-by-step solution

The equation of the family is x - a 2 + y 2 = a 2 , which has only one arbitrary constant ∴ the order will be 1 . Hence, the maximum value of y = k cos ⁡ x = cos ⁡ x is ‘ 1 ’

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