Home
Class 11
MATHS
Which of the following relations are fun...

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.
(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)}
(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)}
(iii) {(1,3),(1,5),(2,5)}

Text Solution

Verified by Experts

The correct Answer is:
(i) yes Domain ={2,5,8,11,14,17}, Range ={1}
(ii) yes, Domain ={2,4,6,8,12,14}, Range ={1,2,3,4,5,6,7}
(iii) No.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Exercise 2.2|9 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos

  • SEQUENCES AND SERIES

    NCERT GUJARATI|Exercise Miscellaneous Exercise On Chapter 9|31 Videos

Similar Questions

Explore conceptually related problems

Which of the following relations are functions? Give reason {(2,0), (4,8), (2,1), (3,6)}

Which of the following relations are functions? Give reason {(3,3) (4,2) (5,1) (6,0) (7,7)}

Examine each of the following relations given below and state in each case, giving resons whether it is function or not? (i) R={(2,1), (3,1), (4,2)}, (ii) R={(2,2), (2,4) ,(3,3),(4,4)} (ii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

If possible , using elementary row transformations , find the inverse of the following matrices : (i) [{:(2,-1,3),(-5,3,1),(-3,2,3):}] (ii) [{:(2,3,-3),(-1,-2,2),(1,1,1):}] (iii) [{:(2,0,-1),(5,1,0),(0,1,3):}]

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: (i) [(3,5),(1,-1)] (ii) [(6,-2,2),(-2,3,-1),(2,-1,3)] (iii) [(3,3,-1),(-2,-2,1),(-4,-5,2)] (iv) [(1,5),(-1,2)]

Find the transpose of each of the following matrices : (i) [{:(5),((1)/(2)),(-1):}] (ii) [{:(1,-1),(2,3):}] (iii) [{:(-1,5,6),(sqrt(3),5,6),(2,3,-1):}]

x= {1, 2, 3, 4}, y= {1, 5, 9, 11, 15, 16} which of the following relations are functions from x to y ? (1) f_(1)= {(1, 1) (2,11) (3,1) (4, 15)} (2) f_(2)= {(1, 1) (2,7)(3,5)} (3) f_(3)= {(1, 5) (2,9) (3, 1) (4, 5) (2, 11)}

Express the following matrices as the sum of a symmetric and a skew symmetric matrix : (i) [{:(3,5),(1,-1):}] (ii) [{:(6,-2,2),(-2,3,-1),(2,-1,3):}] (iii) [{:(3,3,-1),(-2,-2,1),(-4,-5,2):}] (iv) [{:(1,5),(-1,2):}]

Find x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8):}] .

Evaluate the determinants (i) {:[( 3,-1,-2),( 0,0,-1),( 3,-5,0) ]:} " " (ii) {:[( 3,-4,5),( 1,1,-2),(2,3,1) ]:} (iii) {:[( 0,1,2),(-1,0,-3),(-2,3,0)]:}" "(iv) {:[(2,-1,-2),(0,2,-1),(3,-5,0)]:}

Home
Profile