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Math
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Math
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Recent questions tagged sec1
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Questions from:
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 a) Reflexive only b) Symmetry C) both reflexive and symmetry but not transitive d) Is an equivalence relation. 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
\[ \text{If } \begin{vmatrix} 2 x&5 \\ 8&x \end{vmatrix} = \begin{vmatrix} 4&5 \\ 8&3 \end{vmatrix},then\; x\; is\; equal\; to\] \[(A)\; 4\qquad(B)\; \pm 6\qquad (C)\; -6\qquad (D)\;0\]
cbse
class12
bookproblem
ch4
sec1
q8
p109
easy
sec-a
math
asked
Jan 31, 2014
by
rvidyagovindarajan_1
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-5
modelpaper
jun-2008
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-4
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-3
modelpaper
oct-2009
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-2
asked
Sep 13, 2013
by
sreemathi.v
1
answer
For what value of \( \lambda \) is the function defined by \(f\) defined by $ f(x) = \left\{ \begin{array} {1 1} \lambda(x^2 - 2x) ,& \quad\text{ if $ x $ \(\leq 0\)}\\ 4x + 1,& \quad \text{if $x$ > 0}\\ \end{array} \right.$ What about continuity at \( x = 1\)?
cbse
class12
bookproblem
ch5
sec1
q18
q18-2
p160
sec-a
easy
math
asked
Aug 19, 2013
by
sreemathi.v
1
answer
The length \(x\) of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When \(x = 8\)cm and \(y = 6\)cm, find the rates of change of (b) the area of the triangle.
cbse
class12
bookproblem
ch6
sec1
q7
q7-b
p198
sec-a
easy
math
asked
Jul 5, 2013
by
sreemathi.v
1
answer
Find the rate of change of the area of a circle with respect to its radius r when $(b)\; r = 4 cm$
cbse
class12
bookproblem
ch6
sec1
q1
q1-b
p197
sec-a
easy
math
asked
Jul 5, 2013
by
sreemathi.v
1
answer
If P(A) = $\large \frac{1}{2}$ and P(B) = 0, then P$\large(\frac{A}{B})$ is?
class12
cbse
easy
bookproblem
sec-a
ch13
sec1
q16
p540
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate $ P \large ( \large \frac{ E \cup F}{G})$ and $ P \large ( \large \frac{ E \cap F}{G})$
class12
cbse
bookproblem
ch13
sec1
q11
p539
q11-3
sec-a
easy
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate P(E/G) and P(G/E).
cbse
class12
bookproblem
ch13
sec1
p539
q11
easy
q11-2
sec-a
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Find P(E|F) and P (F|E),
cbse
class12
ch13
bookproblem
sec1
p539
q11
q11-1
sec-a
easy
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
A black and a red dice are rolled. Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.
cbse
class12
bookproblem
ch13
sec1
q10
p539
q10-1
easy
sec-a
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
Determine P(E|F) when Two coins are tossed once, where E : no tail appears, F : no head appears
class12
cbse
bookproblem
ch13
sec1
q7
p539
sec-a
q7-2
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
Determine P(E|F) when a coin is tossed three times, where E : at most two tails , F : at least one tail
cbse
class12
bookproblem
ch13
sec1
p539
q6
sec-a
q6-3
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
Determine P(E|F) when a coin is tossed three times, where E : at least two heads , F : at most two heads
class12
cbse
bookproblem
ch13
sec1
p539
q6
sec-a
q6-2
easy
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
Determine P(E|F) when a coin is tossed three times, where E : head on third toss , F : heads on first two tosses
cbse
class12
bookproblem
ch13
sec1
q6
q6-1
p539
sec-a
easy
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
Discuss the continuity of the following functions $(c)\;f(x)=\sin x.\cos x$
cbse
class12
ch5
sec1
q21
q21-c
p160
sec-a
easy
math
asked
May 28, 2013
by
sreemathi.v
1
answer
Discuss the continuity of the following functions $(b)\;f(x)=\sin x-\cos x$
cbse
class12
ch5
sec1
q21
q21-b
p160
sec-a
easy
math
asked
May 28, 2013
by
sreemathi.v
1
answer
Discuss the continuity of the following functions $(a)\;f(x)=\sin x+\cos x$
cbse
class12
ch5
sec1
q21
q21-a
p160
sec-a
easy
math
asked
May 28, 2013
by
sreemathi.v
1
answer
Answer the following as true or false. (iv) Two collinear vectors having same magnitude are equal.
cbse
class12
bookproblem
ch10
sec1
q5
q5-4
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Answer the following as true or false. (iii) Two vectors having same magnitude are collinear.
cbse
class12
bookproblem
ch10
sec1
q5
q5-3
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.
cbse
class12
bookproblem
ch10
sec1
q5
q5-2
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities. $ (v)\;$work done
cbse
class12
bookproblem
ch10
sec1
q3
q3-5
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities. $ (iv)\; $velocity.
cbse
class12
bookproblem
ch10
sec1
q3
q3-4
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities. $ (iii)\; $force.
cbse
class12
bookproblem
ch10
sec1
q3
q3-3
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following as scalar and vector quantities. $ $distance.
cbse
class12
bookproblem
ch10
sec1
q3
q3-2
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors. $20m/s^2$
cbse
class12
bookproblem
ch10
sec1
q2
q2-6
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors. $10^{-19}$coulomb
cbse
class12
bookproblem
ch10
sec1
q2
q2-5
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors. $40$watt
cbse
class12
bookproblem
ch10
sec1
q2
q2-4
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors. $40^\circ$
cbse
class12
bookproblem
ch10
sec1
q2
q2-3
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Classify the following measures as scalars and vectors. $2$ meters north-west
cbse
class12
bookproblem
ch10
sec1
q2
q2-2
p428
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Is the function $f (x) = 5x – 3$ continuous at $x=5$?
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
q1-3
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Is the function $f (x) = 5x – 3$ continuous at $x=-3$
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
q1-2
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Is the function $f(x) = 5x-3$ continous at $x=0$?
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
q1-1
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Find the inverse of following matrix: $\begin{bmatrix} 1 & 3 & 7 \\4 & 2 & 3 \\1 & 2 & 1 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec1
exercise1-1
p9
q4
q4-2
sec-b
medium
asked
Mar 28, 2013
by
poojasapani_1
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
In a set of integers, is the Relation $R = \{(1,2), (2,1)\}$ symmetrical, transitive or reflexive?
class12
sec-a
cbse
sec1
ch1
additionalproblem
easy
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
The relation $R$ in the set $A=\{x\in Z: 0 \leq x \leq 12\}$, given by $ R = \{(a,b) |a-b|$ is a multiple of 4$\}$. Is the relation reflexive, symmetrical or transitive?
cbse
class12
additionalproblem
ch1
sec1
sec-a
easy
math
jeemain
medium
sets-relations-and-functions
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Is the relation $R$ in the set $A=\{x\in Z: 0 \leq x \leq 12\}$, given by $ R = \{(a,b): a=b\}$ symmetrical, transitive or reflexive?
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
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
Is the relation R in the set A={1,2,3,4,5} given by $R=${$(a,b):|a-b| $is even} symmetrical, reflexive or transitive?
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Given 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 $R$ reflexive, symmetric or transitive.
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Is the relation $R$ in the set ${1,2,3}$ given by $R={(1,2), (2,1)}$ symmetric, reflexive or transitive.
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Given a relation \(R\) in \(R\) defined as \(R = {(a, b) : a \leq b} \), is this reflexive, transitive or symmetric.
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
Given a Relation $R$ in a set of Real Numbers defined as $(R) =\{(a, b: (a \leq b^2 )\}$. Is the Relation reflexive, transitive or symmetric?
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
math
asked
Mar 8, 2013
by
balaji.thirumalai
1
answer
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