Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

Maths 35 Years JEE Main & Advanced Past year Papers

JEE : Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

The document Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev is a part of the JEE Course Maths 35 Years JEE Main & Advanced Past year Papers.
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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 :

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

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.

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev                                  (1992 -  2 Marks)

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev      Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev
                             Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

Ans. 

Sol.  

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRevMatrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

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

cos 2α = – ve  Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

∴ (B) corresponds to (p).

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev  Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

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

⇒ Nothing can be said about the sign of Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRevover this interval.

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRevMatrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

⇒ 3α ∈ III quad and 2α ∈ II quad

⇒  sin 3α = – ve, cos 2α = – ve Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev  

∴ (A) corresponds to (r)

If a ∈(0,π/ 2)

Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev

⇒ Nothing can be said about the sign of Matrix-Match Type Questions: Trigonometric Functions & Equations | JEE Advanced Notes | EduRev  over the given interval.

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