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Recent questions tagged q22
Questions
In a class, having 60% boys, 5% of the boys and 10% of the girls have an I.Q. of more than 150. A student is selected at random and found to have an I.Q. of more than 150. Find the probability that the selected student is a boy.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Find the equation of the plane which is perpendicular to the plane $5x+3y+6z+8=0$ and which contains the line of intersection of the planes $x+2y+3z-4=0$ and $2x+y-z+5=0.$
cbse
class12
ch11
sec-c
q22
p237
exemplar
medium
math
asked
Jan 3, 2013
by
sreemathi.v
1
answer
Find \( \mu\) variance for the following distribution :
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
12 cards, numbered 1 to 12, are placed in a box, mixed up throughly and then a card is drawn at random from the box. If it is known that the number on the drawn card is more than 3, find the probability that it is an even number.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Examine the differentiability of f,where f is defined by $f(x)=\left \{\begin{array}{1 1}1+x, & if\;x\leq 2\\5-x, & if\;x>2\end{array}\right.$at $x=2$.
cbse
class12
ch5
q22
p109
short-answer
exemplar
sec-b
medium
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
There are two bags I and II. Bag I contains 3 white and 4 red balls and Bag II contains 5 white and 6 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Dec 31, 2012
by
thanvigandhi_1
0
answers
How many times must a man toss a fair coin, so that the probability of having at least one head is more than 80%?
cbse
class12
modelpaper
2011
sec-b
q22
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
A coin is based so that the head is 3 times as likely to occur as tail. If the coin is tossed three times, find the probabilty distribution of number of tails.
cbse
class12
modelpaper
2011
sec-b
q22
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
Prove that $\begin{vmatrix}bc - a^2 & ca - b^2 & ab - c^2\\ca - b^2 & ab - c^2 & bc - a^2\\ab -c^2 & bc - a^2 & ca - b^2\end{vmatrix}$ is divisible by a+b+c and find the quotient.
cbse
class12
ch4
sec-b
q22
p79
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
Three balls are drawn one by one without replacement from a bag containing 5 white and 4 green balls. Find the probability distribution of number of green balls drawn.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
In a hostel 50% of the student read Hindi magazine, 40% read English magazine and 20% read both Hindi and English magazine. A student is selected at random. (a) Find the probability that student read English magazine only. (b) Find the probability that student reads neither English nor Hindi magazines. (c) Explain the role of newspapers / magazines to aware a student.
cbse
class12
modelpaper
2008
sec-b
q22
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
Prove that \[ tan^{-1} \bigg( \frac{\sqrt {1+x}-\sqrt {1-x}}{\sqrt {1+x}+\sqrt {1-x}} \bigg) = \frac{\pi}{4} - \frac{1}{2} cos^{-1}x , \frac{-1}{\sqrt 2} \leq x \: \leq 1 \]
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Dec 23, 2012
by
thanvigandhi_1
0
answers
If $A=\begin{bmatrix}1 & 2\\-2 & 1\end{bmatrix},B=\begin{bmatrix}2 & 3\\3 & -4\end{bmatrix}\;and\;C=\begin{bmatrix}1 & 0\\-1 & 0\end{bmatrix},verify:(i)\;(AB)C=A(BC)$
cbse
class12
ch3
q22
q22-1
p55
short-answer
exemplar
sec-b
easy
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
If $3\tan^{-1}x+\cot^{-1}x=\pi$ then $x$ equals
cbse
class12
ch2
q22
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
The scalar product of the vector \( \hat i + \hat j + \hat k \) with the unit vector along the sum of the vectors \( 2\hat i + 4\hat j - 5\hat k \) and \( \lambda \hat i + 2\hat j + 3\hat k\) is equal to one. Find the value of \( \lambda\)
cbse
class12
modelpaper
2009
sec-b
q22
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
A pair of dice is thrown four times. If getting a doublet is considered a success, find the probability distribution of number of successes.
cbse
class12
modelpaper
2008-1
sec-b
q22
math
asked
Dec 19, 2012
by
thanvigandhi_1
0
answers
Find the shortest distance between the lines whose vector equations are $ \overrightarrow r = ( \hat i + 2\hat j + 3\hat k) + \lambda ( \hat i - 3\hat j + 2\hat k )$ and $ \overrightarrow r = 4 \hat i + 5\hat j + 6\hat k + \mu (2\hat i + 3\hat j + \hat k )$
cbse
class12
bookproblem
ch11
sec2
q16
p478
medium
sec-c
modelpaper
2012
q22
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
If $\frac{\large d}{\large dx}f(x)=4x^3-\frac{\large 3}{\large x^4}$ such that $f(2)=0$.Then $f(x)$ is
cbse
class12
bookproblem
ch7
sec1
q22
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\sec^2(7-4x)$
cbse
class12
bookproblem
ch7
sec2
q22
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Find the integrals of the functions $\frac{1}{\cos(x-a)\cos(x-b)}$
cbse
class12
bookproblem
ch7
sec3
q22
p307
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{x+3}{x^2-2x-5}\]
cbse
class12
bookproblem
ch7
sec4
q22
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
If \(y = \begin{vmatrix} f(x) & g(x) & h(x) \\l & m &n \\ a & b & c \end{vmatrix}\), prove that \(\large\frac{dy}{dx}\normalsize = \begin{vmatrix} f'(x) & g'(x) & h'(x) \\l & m &n \\ a & b & c \end{vmatrix}\)
cbse
class12
bookproblem
ch5
misc
q22
p192
sec-a
easy
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{\large xdx}{\large (x-1)(x-2)}$ equals\begin{array}{1 1}(A)\;log\mid\frac{(x-1)^2}{x-2}\mid+\: C & (B)\;log\mid\frac{(x-2)^2}{x-1}\mid+\: C\\(C)\;log\mid\bigg(\frac{x-1}{x-2}\bigg)^2\mid+\: C & (D)\;log\mid(x-1)(x-2)\mid+ \: C\end{array}
cbse
class12
bookproblem
ch7
sec5
q22
p323
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sin^{-1}\bigg(\large\frac{2x}{1+x^2}\bigg)$
cbse
class12
bookproblem
ch7
sec6
q22
p328
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\int\limits_0^\frac{2}{3}\frac{dx}{4+9x^2}$ equals
cbse
class12
bookproblem
ch7
sec9
q22
p338
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{x^2+x+1}{(x+1)^2(x+2)}$
cbse
class12
bookproblem
ch7
misc
q22
p352
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
In a culture, the bacteria count is $1,00,000.$ The number is increased by $10\%$ in $2$hours.In how many hours will the count reach $2,00,000$ if the rate of growth of bacteria is proportional to the number present?
cbse
class12
bookproblem
ch9
sec4
q22
p397
sec-c
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the normal at the point \((1,1)\) on the curve \(2y + x^2 = 3\) is
cbse
class12
bookproblem
ch6
misc
q22
p244
sec-a
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Let p be “Kamala is going to school” and q be “There are twenty students in the class “. Give a simple verbal sentence which describes each of the following statements : (i) p ∨ q (ii) p ∧ q (iii) ∼ p (iv) ∼ q (v) ∼p ∨ q
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q22
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?
cbse
class12
bookproblem
ch6
sec5
q22
p233
sec-b
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Assume $X, Y, Z, W$ and $P$ are matrices of order $2\times n$, $3\times k$, $2\times p$, $n\times 3$ and $p\times k$, respectively. If $n = p$ then the order of the matrix $7X - 5Z$ is:
cbse
class12
bookproblem
ch3
sec2
q22
p83
sec-a
math
asked
Nov 25, 2012
by
pady_1
1
answer
Find the equations of the tangent and normal to the parabola $y^2 = 4ax$ at the point $(at^2, 2at)$.
cbse
class12
bookproblem
ch6
sec3
q22
p213
sec-b
medium
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
Discuss the continuity of the cosine, cosecant, secant and cotangent functions.
cbse
class12
bookproblem
ch5
sec1
q22
p160
sec-c
difficult
math
asked
Nov 5, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the distance between the two planes: $2x + 3y + 4z = 4$ and $4x + 6y + 8z = 12$ is
cbse
class12
bookproblem
ch11
misc
p499
q22
sec-b
medium
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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