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ICSE Class 10 Mathematics Question 37 of 49

Multiple-Choice Questions — Question 37

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Question

Question 37

Given a = 3 sec2 θ and b = 3 tan2 θ - 2. The value of (a - b) is :

  1. 1

  2. 2

  3. 3

  4. 5

Answer

    a - b = 3 sec2 θ - (3 tan2 θ - 2)

= 3 sec2 θ - 3 tan2 θ + 2

= 3(sec2 θ - tan2 θ) + 2

= 3(1) + 2

= 3 + 2

= 5.

Hence, Option 4 is the correct option.

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