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Recent questions tagged kvquestionbank2012
Questions
If $ \sqrt{1-y^2}-\sqrt{1-x^2}=a(x-y),\normalsize$ then find $\large\frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q45
p14
sec-b
difficult
math
jeemain
limits-continuity-and-differentiability
asked
Feb 5, 2014
by
rvidyagovindarajan_1
1
answer
Evaluate: $ \int \limits_{-1}^{3/2} \; \left | x \sin \pi x \right | \; dx $
cbse
class12
additionalproblem
kvquestionbank2012
ch7
sec-c
math
asked
Apr 27, 2013
by
meena.p
1
answer
Using vector method prove that : $d)\;\cos (A+B)=\cos A\cos B+\sin A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-d
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that : $c)\;\cos (A+B)=\cos A\cos B-\sin A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-c
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that : $b)\;\sin (A-B)=\sin A\cos B-\cos A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-b
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
If $\large\overrightarrow a\:and\:\overrightarrow b$ are unit vectors then prove that $ \large\frac{1}{2}|\overrightarrow a-\overrightarrow b|=sin\frac{\theta}{2}.$
class12
ch10
kvquestionbank2012
q8
b
difficult
sec-b
asked
Apr 19, 2013
by
rvidyagovindarajan_1
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
What are the odds in favour of getting a 3 in a throw of die? What are the odds against getting 3?
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q20
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Shreya visits the cities A, B, C and D at random. What is the probability that he visits 1) A before B 2) A just before B.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q19
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
If A, B, C are events associated with random expt. Prove that \[ PtP(A\cup B\cup C)=P(A)+P(B)+P(C)-P(A\cap B)-P(A\cap C)-P(B\cap C)+P(A\cap B\cap C)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q18
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
6 boys and 6 girls sit in a row at random. Find the probability that 1) The six girls sit together 2) The boys and girls sit alternatively.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q17
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q16
p41
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the probability that sum of the numbers showing on the two dice is 8, given that atleast one dice doesnt show five.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q15
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the probability of throwing almost 2 sixes in 6 throws of a single dice.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q14
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that cards are a king, queen and a jack
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q13
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
$P(A)=\frac{1}{2},P(B)=\frac{7}{12}P(not A \;or\; nor B)=\frac{1}{4}$ state whether A and B are independent.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q12
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Given that the two numbers appearing on two dice are different. Find the probability of the event 'the sum of numbers on the dice is 4'.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q11
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
In a binomial distribution, the sum of mean and variance is 42. Product is 360. FInd the distribution.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q10
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Suppose X has a binomial distribution B(6,1/2) show that X = 3 is the most likely outcome.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q9
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
4 persons are chosen at random from a group of 3 men, 2 women, 3 children. Find the probability that out of 4 choice, exactly 2 are children.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q8
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
If on an average 1 ship in every 10 sinks, find the chance that out of 5 ships atleast 4 will arrive safely.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q7
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
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