CLASS_11_MATHS_SOLUTIONS_NCERT

Class XI Chapter 2 – Relations and Functions Maths
______________________________________________________________________________
0, 1 f f 0 1 a 0 b 1
On substituting b 1 in a b 1
We obtain
a 1 1 a 11 2
. Thus, the respective values of a and b
are 2 and
1.
Question 9:
Let R be a relation from N to N defined by
true?
a, a R,
(i)
a, b R,
(ii)
(iii)
for all aN
b,
a
implies
a, b R, b,
c R
R
a,
c
implies
Justify your answer in each case.
Solution 9:
R a, b : a, bN
and a b
2
R
(i) It can be seen that 2N ; however,
Therefore, the statement , for all
(ii) It can be seen that
3,9 N
Therefore, the statement
" a,
a
R
9,3 N
" a, b R,
9,3 R, 16, 4
.
R a, b : a, bN
and a b
.
aN"is not true.
2
2 2 4
because
(iii) It can be seen that
2
Now, 9 4 16 ; therefore,
Therefore, the statement
9,4 N
implies
R
" a, b R, b,
c R
9,3 N
and
" b, a R"
2
9
3
. Now,
is not true.
because 9,3,16,4 N
implies
a, c R"
and
2
. Are the following
2
3 9 81;
2
9
3
is not true.
and
therefore,
2
16 4
.
Question 10:
Let
A
1, 2,3, 4 , B 1,5,9,11,15,16
following true?
(i) f is a relation from A to B
(ii) f is a function from A to B
Justify your answer in each case.
Solution 10:
and
f
1,5 , 2,9 , 3,1 , 4,5 , 2,11
. Are the
Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a
Top tutor.