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Recent questions tagged p6
Questions
The relation $R$ in the set $A$ of points in a plane given by $R = \{(P, Q)$ : distance of the point $P$ from the origin is same as the distance of the point $Q$ from the origin $\}$, is <br> a) Reflexive only<br> b) Symmetry<br> C) both reflexive and symmetry but not transitive<br> d) Is an equivalence relation.<br> Also show that the set of all points related to a point Pis not equal to (0,0) is the circle passing through P with origin as centre.
cl121
cbse
class12
bookproblem
ch1
sec1
q11
p6
easy
sec-a
math
asked
Jun 12, 2014
by
balaji.thirumalai
1
answer
Give an example of a relation which is (v) Symmetric and transitive but not reflexive.
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q10
q10-5
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Give an example of a relation which is (iv) Reflexive and transitive but not symmetric.
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q10
q10-4
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Give an example of a relation which is (iii) Reflexive and symmetric but not transitive.
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q10
q10-3
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Give an example of a relation which is (ii) Transitive but neither reflexive nor symmetric.
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q10-2
q10
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Show that the relation $R$ in the set $A=\{x\in Z: 0 \leq x \leq 12\}$, given by $(ii) R = \{(a,b): a=b\}$ is an equivalence relation. Find the set of all elements related to 1.
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q9
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether each of the following relations are reflexive, symmetric and transitive: $(v)$ Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $ R=\{(x,y):\; \text{x is the father of y}\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-5-e
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether each of the following relations are reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $R=\{(x,y):\; \text{x is the wife of y}\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-5-d
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $ R=\{(x,y):\; x$ is exactly $7\;cm$ taller than $y\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-5-c
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $R=\{(x,y):x\; \text{and y live in the same locality}\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-5-b
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether each of the following relations are reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $\; R=\{(x,y):x $ and $y$ work at the same place $\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-5-a
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $Z$ of all integers defined as $R=\{(x,y):x-y \;\; \text {is an integer}\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-4
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A = \{1,2,3,4,5,6\}$ defined as $R=\{(x,y):y \;\; \text {is divisible by } x\}$
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1-3
q1
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Relation $R$ in a set $N$ of natural numbers defined as $R=\{(x,y):y=x+5$ and $x<4\}$. Which of the following is true about $R$?
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1
q1-2
math
asked
Mar 7, 2013
by
balaji.thirumalai
1
answer
Given Relation $R$ in the set $A=\{1,2,3,...,13,14\}$ defined as $R=\{(x,y):3x-y=0\}$. Which of the following is true?
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q1-1
math
asked
Mar 7, 2013
by
balaji.thirumalai
1
answer
Give an example of a relation which is (i) Symmetric but neither reflexive nor transitive.
cbse
class12
bookproblem
ch1
sec1
p6
easy
sec-a
q10
q10-1
math
asked
Mar 7, 2013
by
balaji.thirumalai
1
answer
If $ \cos^{-1}\Large\frac{x}{2}+\normalsize\cos^{-1}\large\frac{y}{3}=\theta ,\;\normalsize prove\;that\;9x^2-12xy\cos\theta +4y^2=36\sin^2\theta $
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q25
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Solve: $\sin\lfloor2\cos^{-1}\{\cot(2\tan^{-1}x)\}\rfloor=0$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q24
p6
difficult
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Solve for x:$\tan^{-1}(x+1)+\tan^{-1}x+\tan^{-1}(x-1)=\tan^{-1}3.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q23
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Prove that $ \tan^{-1}\large\frac{yz}{xr}+ \tan^{-1}\frac{zx}{yr}+ \tan^{-1}\frac{xy}{zr}=\frac{\pi}{2}\;where\;x^2+y^2+z^2=r^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q22
p6
difficult
sec-c
math
asked
Jan 24, 2013
by
meena.p
1
answer
If $ \tan^{-1}a+\tan^{-1}b+\tan^{-1}c=\pi,\;prove\;that\;a+b+c=abc.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q21
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Prove: $\cos^{-1}x-\cos^{-1}y=\cos^{-1}\bigg[xy+\sqrt{1-x^2}.\sqrt{1-y^2}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q20
p6
easy
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Solve for x $ \sin^{-1}\frac{2\alpha}{1+\alpha^2}+ \sin^{-1}\frac{2\beta}{1+\beta^2}=2\tan^{-1}x.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q19
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
Prove that :$\cot^{-1}\bigg[\frac{ab+1}{a-b}\bigg]+\cot^{-1}\bigg[\frac{bc+1}{b-c}\bigg]+\cot^{-1}\bigg[\frac{ca+1}{c-a}\bigg]=0$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q18
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
If $ x= cosec \lfloor\tan^{-1}\{\cos(\cot^{-1}(\sec(\sin^{-1}a)))\}\rfloor\; $ and $ y=\sec\lfloor\cot^{-1}\{\sin(\tan^{-1}(cosec(\cos^{-1}a)))\}\rfloor\;$ where $\;a\;\in [0,1]$ Find the relationship between $x$ and $y$ in terms of $a$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q17
p6
difficult
sec-c
math
asked
Jan 24, 2013
by
meena.p
1
answer
Let \(L\) be the set of all lines in \(XY\) plane and \(R\) be the relation in \(L\) defined as \(R = \{(L1, L2) : L1\:\) is parallel to \(L2\}\). Show that \(R\) is an equivalence relation. Find the set of all lines related to the line \(y = 2x + 4.\)
cbse
class12
bookproblem
ch1
sec1
q14
p6
easy
sec-a
math
asked
Nov 8, 2012
by
vaishali.a
1
answer
Show that the relation \(R\) defined in the set \(A\) of all polygons as \(R = \{(P_1, P_2) :\: P_1\ and \;P_2\) have same number of sides\(\}\), is an equivalence relation. What is the set of all elements in \(A\) related to the right angle triangle \(T\) with sides \(3, 4\) and \(5\)?
cbse
class12
bookproblem
ch1
sec1
q13
p6
easy
sec-a
math
asked
Nov 8, 2012
by
vaishali.a
1
answer
Show that the relation \(R\) defined in the set \(A\) of all triangles as \(R = \{(T_1, T_2) : T_1\,is\, similar\, to\, T_2\}\), is equivalence relation. Consider three right angle triangles $(T_1 \;$ with sides $3, 4, 5, \; T_2$ with sides $5, 12, 13$, and $T_3$, with sides $6, 8, 10$) Which triangles among \(T_1\, T_2\, and\, T_3\) are related?
cbse
class12
bookproblem
ch1
sec1
q12
p6
medium
sec-b
math
asked
Nov 8, 2012
by
vaishali.a
1
answer
The relation $R$ in the set $A$ of points in a plane given by $R = \{(P, Q)$ : distance of the point $P$ from the origin is same as the distance of the point $Q$ from the origin $\}$, is
cbse
class12
bookproblem
ch1
sec1
q11
p6
easy
sec-a
math
asked
Nov 8, 2012
by
vaishali.a
1
answer
Show that each of the relation $R$ in the set $A=\{x\in Z: 0 \leq x \leq 12\}$, given by $(i) R = \{(a,b) |a-b|$ is a multiple of 4 $\}$ is an equivalence relation. Find the set of all elements related to 1.
cbse
class12
bookproblem
ch1
ex1-1
q9
p6
easy
sec-a
modelpaper
2012
q13
math
asked
Nov 7, 2012
by
vaishali.a
1
answer
Show that the relation \(R\) in the set \(A\) of all the books in a library of a college, given by ( $R = \{ (x, y) : x\;$ and $\; y\;$ have same number of pages$\}$ ) is an equivalence relation.
cbse
class12
bookproblem
ch1
sec1
q7
p6
easy
sec-a
math
asked
Nov 7, 2012
by
vaishali.a
1
answer
Show that the relation \(R\) in the set {1,2,3} given by R={(1,2), (2,1)} is symmetric but neither reflexive nor transitive.
cbse
class12
bookproblem
ch1
sec1
q6
p6
sec-b
modelpaper
2012
q1
math
asked
Nov 7, 2012
by
vaishali.a
1
answer
Check whether the relation $R$ in $R$ defined by $R = {(a, b) : a \leq b^3}$ is reflexive, symmetric or transitive.
cbse
class12
bookproblem
ch1
sec1
q5
p6
easy
sec-a
math
asked
Nov 7, 2012
by
vaishali.a
1
answer
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