JEE Advanced (Matrix Match): Trigonometric Functions & Equations | Chapter-wise Tests for JEE Main & Advanced PDF Download

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DIRECTIONS (Q. 1): Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example :

If the correct matches are A-p, s and t; B-q and r; C-p and q; and D-s then the correct darkening of bubbles will look like the given.

Q. 1. 

In this questions there are entries in columns 1 and 2. Each entry in column 1 is related to exactly one entry in column 2. Write the correct letter from column 2 against the entry number in column 1 in your answer book.

                                  (1992 -  2 Marks)

Ans. 

Sol.  

⇒ 3α ∈ II quad and 2α ∈ II quad ⇒  sin 3α = + ve

cos 2α = – ve  

∴ (B) corresponds to (p).

⇒ 3α ∈ II or III quad and 2α ∈ II quad

⇒ Nothing can be said about the sign of over this interval.

⇒ 3α ∈ III quad and 2α ∈ II quad

⇒  sin 3α = – ve, cos 2α = – ve   

∴ (A) corresponds to (r)

If a ∈(0,π/ 2)

⇒ Nothing can be said about the sign of   over the given interval.