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Question

If x = 3 sec2θ - 1, y = tan2θ - 2 then x - 3y is equal to


A

3

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B

8

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C

4

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D

5

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Solution

The correct option is B

8


x = 3 sec2θ - 1, y = tan2θ - 2

x - 3y = 3 sec2θ - 1 - 3tan2θ + 6

= 3(1) + 5 = 8

(Since, sec2 θ - tan2θ = 1)


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