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Assertion (A): The function f:R -{(2n+1)π2:n∈Z}→(-∞,-1]∪[1,∞) defined by f(x) = sec x is not one-one function in its domain. Reason (R): The line y = 2 meets the graph of the function at more than one - Mathematics

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Question

Assertion (A): The function `f : R  - {(2n + 1) pi/2 : n in Z} -> (- infty, -1] cup [1, infty)` defined by f(x) = sec x is not one-one function in its domain.

Reason (R): The line y = 2 meets the graph of the function at more than one point.

Options

  • Both (A) and (R) are true and (R) is the correct explanation of (A).

  • Both (A) and (R) are true but (R) is not the correct explanation of (A).

  • (A) is true but (R) is false.

  • (A) is false but (R) is true.

MCQ
Assertion and Reasoning

Solution

Both (A) and (R) are true and (R) is the correct explanation of (A).

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