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Recent questions tagged additionalproblem
Questions
Evaluate $\tan^{-1} \left (\large \frac {{\sqrt {1+x}}-{\sqrt {1-x}}}{{\sqrt {1+x}}+{\sqrt {1-x}}} \right )$$,\frac{-1}{\sqrt2} \leq x \leq 1$
class12
cbse
sec-b
ch2
additionalproblem
medium
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
Find the value of the following function: $tan^{-1} \frac{1}{5}+ tan^{-1} \frac{1}{7}+tan^{-1}\frac{1}{3}+tan^{-1} \frac{1}{8}$
cbse
class12
ch2
sec2
additionalproblem
sec-b
medium
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
What does $cos^{-1} \frac {12}{13} +sin^{-1} \frac{3}{5}$ reduce to?
class12
ch2
additionalproblem
cbse
medium
sec-b
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
What does $cos^{-1} \frac {4}{5} +cos^{-1} \frac{12}{13}$ reduce to?
class12
cbse
ch2
easy
additionalproblem
sec-a
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
What does $sin^{-1} \frac{8}{17} +sin^{-1} \frac{3}{5}$ reduce to?
class12
cbse
ch2
medium
sec-b
additionalproblem
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
What does $2sin^{-1} \frac{3}{5}$ reduce to?
cbse
class12
ch2
additionalproblem
sec2
sec-b
medium
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
What is the value of $\tan^{-1}\large \frac{2}{11}$$ +tan^{-1} \large \frac{7}{24}$?
cbse
class12
ch2
sec2
additionalproblem
sec-b
easy
math
asked
Mar 14, 2013
by
balaji.thirumalai
1
answer
Using matrices,solve the system of linear equations,\[2x-y+z=3\]\[-x+2y-z=-4\]\[x-y+2z=1\]
cbse
class12
additionalproblem
ch4
sec-c
math
asked
Mar 14, 2013
by
sreemathi.v
1
answer
Using properties of determinants,solve for x,\[\begin{vmatrix}a+x & a-x& a-x\\a-x & a+x & a-x\\a-x & a-x & a+x\end{vmatrix}=0\]
cbse
class12
additionalproblem
ch4
sec-b
math
asked
Mar 13, 2013
by
sreemathi.v
1
answer
Given the Modulus Function \(f : R \to R\), given by \( f(x) = |\;x\;|\), where\( |\;x\;|\; is\; x\), if \(x\) is positive or \(0\) and \(|\;x\;|\; is\; \) \(-\)\(x\), if \( x\) is negative. Is $f$ one-one or onto?
cbse
class12
ch1
sec2
sec-a
additionalproblem
easy
math
asked
Mar 13, 2013
by
balaji.thirumalai
1
answer
Given the Function $f:R\rightarrow R$, given by $f(x)=[x]$, where $[x]$ denotes the greatest integer less than or equal to $x$ which of the following is true?
cbse
class12
ch1
sec2
additionalproblem
easy
sec-a
math
asked
Mar 13, 2013
by
balaji.thirumalai
1
answer
Given a function $f:R_* \rightarrow R_*$ defined by $f(x)=\frac{1}{x}$, where $R_*$ is the set of all non-zero real numbers. Which of the following is true?
cbse
class12
ch1
sec2
additionalproblem
easy
sec-a
math
asked
Mar 13, 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
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
A random variable X has probability distribution P(X) of the following form where K is some number. \[P(X)= \left\{ \begin{array}{1 1} k & \quad if & \quad x=0 \\ 2k & \quad if & \quad x=1 \\3k & \quad if & \quad x=0 \\0 & \qquad otherwise \end{array} \right.\]\[Find\;(1)\;K\qquad(2)\;p(x>2)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q50
p43
sec-a
math
asked
Feb 5, 2013
by
meena.p
0
answers
Six dice are thrown 729 times. How many times do you expect atleast three dice to show 5 or 6.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q49
p43
math
asked
Feb 5, 2013
by
meena.p
1
answer
A die is thrown again and again untill three sixes are obtained. Find the probability of obtaining third six in sixth throw of dice.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q48
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
$ P(A)=1/2,P(B)=7/12\;and\;P(notA\;or\;norB)=1/4$ State whether A and B independent or not.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q47
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
If the second die always shows an odd no. find the conditional probability of getting a sum as 7, if a pair of dice is to be known.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q46
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
Two dice are thrown. Find the probability that the number appeared have a sum 8 if it is known that second dice always exhibits 4.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q45
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
Two cards are drawn from a pack and kept out. Then one card is drawn from remaining 50 cards. Find the prob. that it is an ace.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q44
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
P(A speaks truth is) = 4/5 . A coin is tossed. 'A' reports that a head appears. The probability that actually there was a head is.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q43
p43
math
asked
Feb 5, 2013
by
meena.p
1
answer
If E and F are events such that $P(F)=1/4P(F)=1/2\;and\;P(E\cap P)=1/8\;find\;P(\bar{E}\cap\bar{F})$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q42
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
If $ 2P(A)=P(B)=5/13\;and(A/B)=2/5\;find\;P(A\cap B)$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q41
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
6 coins are tossed simultaneously. Find the probability of getting 1) no heads 2) 3 heads
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q40
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the mean and variance of number of sines in two tosses of a die.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q39
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
Two cards are drawn from a pack. Find the probability that number of aces are drawn. (Write probability distribution table)
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q38
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the probability distribution of the sum of the numbers obtained when two dice are thrown once.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q37
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
A man takes a step forward with probability 0.4 and backwards with a probability 0.6. Find the probability that after 11 steps he is just one step away from the starting point.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q36
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
Two cards are drawn without replacement from a pack. Find the probability distribution of number of face cards.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q35
p43
math
asked
Feb 5, 2013
by
meena.p
0
answers
A tells lie is 30% cases, and B in 35% cases find the probability that both state same fact.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q34
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the probability that sum of nos. appearing and showing on two dice is 8, given that atleast one of the dice doesn't show 5.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q33
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Suppose that a fair dice are tossed and let X represents "The sum of points". FInd the mean/ variance of X.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q32
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A man is known to speak truth 3 times out of 4. He throws a dice and reports that it is a six. Find the probability that it is actually a six.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q31
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A,B,C tosses a coin in turns. The first one to throw a 'head' wins game. What are their respective chances of winning.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q30
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Obtain the probability distribution of number of sixes in two tosses of a dice. Also find mean/ variance.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q29
p42
math
asked
Feb 5, 2013
by
meena.p
1
answer
A company produces 10% defective items. Find the probability of getting 2 defective items in a sample of 8 items is
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q28
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A coin is tossed 7 times. FInd the probability distribution of getting r heads.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q27
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
If three distinct numbers are chosen at randomly from first 100 natural nos. then the probability that all of them are divisible by 2 or 3 is
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q26
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A fair die is rolled. The probability that the first 1 occurs at even number of trails is?
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q25
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A letter is chosen at random from the word ASSASSINATION. Find the probability that the letter is a vowel.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q24
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
If a 4 digit number > 5000 are randomly formed from digits 0,1,3,5,7. Find probability of forming a number divisible by 5 when (1) digits are repeated 2) digits are not repeated.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q23
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A fair die is rolled. The probability that the first 1 occurs at the even number of trails is ?
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q22
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
A pack of 52 cards were distributed equally among 4 players. Find the chance that 4 kings are held by particular player.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q21
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
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