Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Maths 35 Years JEE Mains & Advance Past year Papers Class 12

JEE : Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

The document Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev is a part of the JEE Course Maths 35 Years JEE Mains & Advance Past year Papers Class 12.
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Match the following Question

Direction (Q. 1 and 2) 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 ColumnII. 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.

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Q. 1. Let the function defined in column 1 have domain  Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev and range (-∞,∞)

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRevMatch the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Ans.  (A) - q; (B) - r

Solution. (A) f (x) = 1 + 2x, Df = (–π/2, π/2)

The given function represents a straight line so it is one one.

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev
(B) f (x) = tan x It is an increasing function on (–π/2, π/2) and its range
= (–∞,∞) = co-domain of f.
∴ f is one one onto.
∴ (B) → r


Q. 2.    Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Match of expressions/statements in Column I with expressions/statements in Column II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRevMatch the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Ans.  (A) -p, r, s ; (B) - q, s ; (C) - q, s ; (D) -p, r, s

Solution. 

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Integar Type question

Q. 1. Let f : [0, 4π] → [0, π] be defined by f (x) = cos–1(cos x). The number of points x ∈[ 0,4π] satisfying the equation

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

Ans. 3

Solution. 

Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev
Match the following Question, Integer Type question of Functions, Past year Questions JEE Advanced JEE Notes | EduRev

The graph of y = f (x) and y = g (x) are as follows.

Clearly f(x) = g(x) has 3 solutions.

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