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Relations and Functions
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let A be the set of all students of class XII in a school and R be the relation, having the same *** on A, and then prove that R is an equivalence relation. Do you think, co-education may be helpful in child development and why?
cbse
class12
valuebasedproblems2012
additionalproblem
ch1
q4
math
sec-b
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asked
Jan 24, 2013
by
shanthinig
retagged
Jan 24, 2013
by
pady_1
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votes
0
answers
Prove that $f: \text{R} \rightarrow \text{R}$ is a bijection given by $f(x) = x^3 + 3$. Find $f^{-1}(x)$. Does the truthfulness and honesty may have any relation?
asked
Jan 24, 2013
by
pady_1
cbse
class12
additionalproblem
valuebasedproblems2012
ch1
q1
math
sec-b
0
votes
0
answers
Let N denote the set of all natural numbers and R be the relation on N x N defined by $ (a,b)R(c,d) \Leftrightarrow ad(b + c) = bc(a + d).$ Show that R is an equivalence relation on N x N.
asked
Jan 23, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q21
p4
math
sec-b
0
votes
0
answers
Principal and staff of a school decided to award prizes to their students for three values Honesty (x) cleanliness (y), Punctuality (z) in two groups. Group A ( upto class VIII) and group B ( IX - XII). It is decided that Rs. 12000 for three values (x, y, z) for 3, 4, 5 students of Group A and Rs. 11040 for 5, 4, 3 student of group B respectively. If all the three prizes together amount to Rs. 2880, then (i) Represent above situation by a matrix equation and form linear equation using matrices. (ii) Is it possible to solve the system of linear equations so obtained using matrices? (iii) Which value you prefer to be rewarded most and why?
asked
Jan 21, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q13
math
0
votes
0
answers
Show that the relation "Â“congruence modulo 2"Â” on the set Z (set of integers) is an equivalence relation. Also find the equivalence class of 1.
asked
Jan 23, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q17
p3
math
sec-b
0
votes
0
answers
Let $f : A \rightarrow B$ be a given function. A relation R in the set A is given by $R = {(a,b) \varepsilon A \times A : f(a) = f(b)}.$ Check, if R is an equivalence relation.
asked
Jan 23, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q23
p4
math
sec-b
0
votes
1
answer
Let A={1,2,3....9} and R be the relation in AxA defined by (a,b)R(c,d) if a+d=b+c for (a,b),(c,d) in AxA.Prove that R is an equivalence relation and also obtain the equivalent class[(2,5)].
asked
Dec 19, 2012
by
sreemathi.v
cbse
class12
ch1
q23
p13
exemplar
sec-b
math
0
votes
0
answers
Check whether the function f (x) =$ x^{100}$ + sin x-1 is strictly increasing or strictly decreasing or none of both on $(-1,1)$ . Should the nature of a man be like this function? Justify your answers
asked
Jan 24, 2013
by
shanthinig
cbse
valuebasedproblems2012
relations-and-functions
ch1
q15
additionalproblem
sec-b
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