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The minimum value of n for which ntan-1 nπ>π4, n ∈ N, is valid is 5. - Mathematics

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Question

The minimum value of n for which `tan^-1  "n"/pi > pi/4`, n ∈ N, is valid is 5.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

`tan^-1  "n"/pi > pi/4`

⇒ `"n"/pi > tan  pi/4`

⇒ `"n"/pi > 1`

⇒ `"n" > pi`

So, the minmum value of n is 4.

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Chapter 2: Inverse Trigonometric Functions - Exercise [Page 41]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 54 | Page 41
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