JEE  >  Maths 35 Years JEE Main & Advanced Past year Papers  >  Matrix-Match Type Questions: Functions | JEE Advanced

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

Document Description: Matrix-Match Type Questions: Functions | JEE Advanced for JEE 2022 is part of Maths 35 Years JEE Main & Advanced Past year Papers preparation. The notes and questions for Matrix-Match Type Questions: Functions | JEE Advanced have been prepared according to the JEE exam syllabus. Information about Matrix-Match Type Questions: Functions | JEE Advanced covers topics like and Matrix-Match Type Questions: Functions | JEE Advanced Example, for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Matrix-Match Type Questions: Functions | JEE Advanced.

Introduction of Matrix-Match Type Questions: Functions | JEE Advanced in English is available as part of our Maths 35 Years JEE Main & Advanced Past year Papers for JEE & Matrix-Match Type Questions: Functions | JEE Advanced in Hindi for Maths 35 Years JEE Main & Advanced Past year Papers course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free. JEE: Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
1 Crore+ students have signed up on EduRev. Have you?

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.

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

Q. 1. Let the function defined in column 1 have domain  Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE and range (-∞,∞)

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEEMatrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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.

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
(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.    Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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.

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEEMatrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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

Solution. 

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

Ans. 3

Solution. 

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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

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

The document Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE is a part of the JEE Course Maths 35 Years JEE Main & Advanced Past year Papers.
All you need of JEE at this link: JEE

Related Searches

Exam

,

past year papers

,

practice quizzes

,

Semester Notes

,

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

,

Summary

,

ppt

,

shortcuts and tricks

,

Viva Questions

,

study material

,

pdf

,

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

,

Important questions

,

MCQs

,

Previous Year Questions with Solutions

,

Sample Paper

,

Free

,

Objective type Questions

,

Matrix-Match Type Questions: Functions | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

,

mock tests for examination

,

video lectures

,

Extra Questions

;