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Recent questions tagged sec-a
Questions
Given that the events A and B are such that $P(A) = \large \frac{1}{2} , P (A \cap B) = \large \frac{3}{5} $ and $P(B) = p$. Find p if they are (i) mutually exclusive (ii) independent.
cbse
class12
bookproblem
ch13
sec2
p546
q7
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
It is given that at $x = 1$, the function $x^4 – 62x^2 + ax + 9$ attains its maximum value, on the interval $[0, 2].$ Find the value of $a.$
cbse
class12
bookproblem
ch6
sec5
q11
p233
sec-a
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Let E and F be events with $P (E) = \frac{3}{5} , P (F)= \frac{3}{10} $ and $P (E \cap F) = \frac{1}{5} $ . Are E and F independent?
cbse
class12
bookproblem
ch13
sec2
q6
p546
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event of the number being even, and B be the event of the number being red. Are A and B independent?
cbse
class12
bookproblem
ch13
sec2
q5
p546
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A fair coin and an unbiased die are tossed. Let A be the event - head appears on the coin and B be the event 3 on the die. Check whether A and B are independent events or not.
cbse
class12
bookproblem
ch13
sec2
q4
p546
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
cbse
class12
bookproblem
ch13
sec2
q3
546
easy
sec-a
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
cbse
class12
bookproblem
ch13
sec2
q2
546
easy
sec-a
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
If $P(A) = \frac{3}{5} $ and $P(B) = \frac{1}{5} $ , find $P (A \cap B) $ if A and B are independent events.
cbse
class12
bookproblem
ch13
sec2
q1
546
easy
sec-a
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
If A and B are events such that P(A|B) = P(B|A), then which of the following is true?
cbse
class12
bookproblem
ch13
sec1
q17
p540
sec-a
easy
concepts
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event - the coin shows a tail, given that - at least one die shows a 3.
cbse
class12
bookproblem
ch13
sec1
q15
p349
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Given that the two numbers appearing on throwing two dice are different. Find the probability of the event - the sum of numbers on the dice is 4.
cbse
class12
bookproblem
ch13
sec1
q14
p539
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
An instructor has a question bank consisting of 300 easy True / False questions, 200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
cbse
class12
bookproblem
ch13
sec1
q13
p539
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl, (ii) at least one is a girl?
cbse
class12
bookproblem
ch13
sec1
q12
p539
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
A black and a red dice are rolled. Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
cbse
class12
bookproblem
ch13
sec1
q10
p539
easy
sec-a
q10-2
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Determine P(E|F) . Mother, father and son line up at random for a family picture E : son on one end, F : father in middle
cbse
class12
bookproblem
ch13
sec1
q9
p539
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Determine P(E|F) . A die is thrown three times, E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses
cbse
class12
bookproblem
ch13
sec1
q8
p539
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Determine P(E|F) when Two coins are tossed once, where E : tail appears on one coin, F : one coin shows head
cbse
class12
bookproblem
ch13
sec1
q7
p539
q7-1
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Evaluate P(A ∪ B), if 2P(A) = P(B) =5/13 and P(A|B) =2/5
bookproblem
class12
cbse
p539
sec1
q4
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find i) P(A ∩ B), (ii) P(A|B) and (iii) P(A ∪ B)
cbse
class12
bookproblem
p539
sec1
q-3
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Compute P(A|B), if P(B) = 0.5 and P (A $\cap$ B) = 0.32
cbse
class12
bookproblem
ch13
sec1
q2
p539
sec-a
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Simplify $\cos\theta\begin{bmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix}$ + $\sin\theta\begin{bmatrix} \sin\theta & -\cos\theta \\ \cos\theta & \sin\theta \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec2
q6
p81
easy
shortanswer
sec-a
math
asked
Nov 26, 2012
by
pady_1
1
answer
Find $X$ , if $Y = \begin{bmatrix} 3 & 2 \\ 1 & 4 \end{bmatrix} $ and $ 2X + Y = \begin{bmatrix} 1 & 0 \\ -3 & 2 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec2
q8
p81
easy
shortanswer
sec-a
math
asked
Nov 26, 2012
by
pady_1
1
answer
Find $x$ and $y$, if $ 2\begin{bmatrix} 1 & 3 \\ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \\ 1 & 8 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec2
q9
p81
easy
shortanswer
sec-a
math
asked
Nov 26, 2012
by
pady_1
1
answer
Solve the equation for $x, y, z$ and $t$ if $ 2\begin{bmatrix}x & z \\ y & t \end{bmatrix} + 3\begin{bmatrix} 1 & -1 \\ 0 & 2 \end{bmatrix} = 3\begin{bmatrix} 3 & 5 \\ 4 & 6 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec2
q10
p81
easy
shortanswer
sec-a
math
asked
Nov 26, 2012
by
pady_1
1
answer
Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $\: f (x) = x^3, x \in [– 2, 2] $
cbse
class12
bookproblem
ch6
sec5
q5
q5-1
p232
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Prove that the following functions do not have maxima or minima: $ (i)\: f (x) = e^x $
cbse
class12
bookproblem
ch6
sec5
q4
q4-1
p232
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (i)\: f (x) = x^2 $
cbse
class12
bookproblem
ch6
sec5
q3
q3-1
p232
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the maximum and minimum values, if any, of the following functions given by $ f (x) = |x + 2| - 1$
cbse
class12
bookproblem
ch6
sec5
q2
q2-1
p232
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the maximum and minimum values, if any, of the following functions given by?$\;f(x)=(2x-1)^2+3$
cbse
class12
bookproblem
ch6
sec5
q1
q1-1
p231
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
The approximate change in the volume of a cube of side $x$ metres caused by increasing the side by $3\%$ is
cbse
class12
bookproblem
ch6
sec4
q9
p216
sec-a
medium
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
If the radius of a sphere is measured as $9 \: m$ with an error of $0.03 \: m$, then find the approximate error in calculating its surface area.
cbse
class12
bookproblem
ch6
sec4
q7
p216
sec-a
easy
modelpaper
q15
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
If the radius of a sphere is measured as $7 \: m$ with an error of $0.02 \: m$, then find the approximate error in calculating its volume.
cbse
class12
bookproblem
ch6
sec4
q6
p216
sec-a
medium
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the approximate change in the surface area of a cube of side $x$ metres caused by decreasing the side by $1\%$.
cbse
class12
bookproblem
ch6
sec4
q5
p216
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the approximate change in the volume V of a cube of side $x$ metres caused by increasing the side by $1\%$.
cbse
class12
bookproblem
ch6
sec4
q4
p216
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the approximate value of \(f (5.001)\), where $f (x) = x^3 – 7x^2 + 15.$
cbse
class12
bookproblem
ch6
sec4
q3
p216
sec-a
medium
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Find the approximate value of $ f (2.01)$, where $f (x) = 4x^2 + 5x + 2$.
cbse
class12
bookproblem
ch6
sec4
q2
p216
sec-a
medium
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the line $y = x + 1$ is a tangent to the curve $y^2 = 4x$ at the point
cbse
class12
bookproblem
ch6
sec3
q27
p213
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the slope of the normal to the curve $ y = 2x^2 + 3 \sin\: x$ at $x = 0$ is
cbse
class12
bookproblem
ch6
sec3
q26
p213
sec-a
easy
math
asked
Nov 26, 2012
by
thanvigandhi_1
1
answer
If $ x\begin{bmatrix} 2 \\ 3 \end{bmatrix} + y\begin{bmatrix} -1 \\ 1 \end{bmatrix} = \begin{bmatrix} 10 \\ 5 \end{bmatrix} $, find the values of $x$ and $y$.
cbse
class12
bookproblem
ch3
sec2
q11
p81
easy
veryshort-answer
sec-a
math
asked
Nov 25, 2012
by
pady_1
1
answer
Given $3\begin{bmatrix} x & y \\ z & w \end{bmatrix}$ = $\begin{bmatrix} x & 6 \\ -1 & 2w \end{bmatrix}$ + $\begin{bmatrix} 4 & x + y \\ z + w & 3 \end{bmatrix}$, find the values of $x, y, z$ and $w$.
cbse
class12
bookproblem
ch3
sec2
q12
p81
easy
shortanswer
sec-a
math
asked
Nov 25, 2012
by
pady_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. The restriction on $n, p, k$ so that $PY + WY$ will be defined are:
cbse
class12
bookproblem
ch3
sec2
q21
p83
sec-a
math
asked
Nov 25, 2012
by
pady_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
If $A' = \begin{bmatrix} -2 & 3 \\ 1 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} -1 & 0 \\ 1 & 2 \end{bmatrix}$, then find $(A + 2B)'$
cbse
class12
bookproblem
ch3
sec3
q4
p88
easy
shortanswer
sec-a
math
asked
Nov 25, 2012
by
pady_1
1
answer
Show that the tangents to the curve \(y = 7x^3 + 11\) at the points where \(x = 2\) and \(x = -2\) are parallel.
cbse
class12
bookproblem
ch6
sec3
q16
p212
sec-a
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
If $A, B$ are symmetric matrices of the same order, then $AB - BA$ is
cbse
class12
bookproblem
ch3
sec3
q11
p90
easy
shortanswer
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
if $A = \begin{bmatrix} cos\alpha & -sin\alpha \\ sin\alpha & cos\alpha \end{bmatrix} $ then $ A + A' = I, $ if the value of $\alpha$ is
cbse
class12
bookproblem
ch3
sec3
q12
p90
easy
shortanswer
objective
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
Matrices $A$ and $B$ will be inverse of each other only if
cbse
class12
bookproblem
ch3
sec4
q18
p97
easy
toolbox
concepts
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
Find the equation of all lines having slope \(2\) that are tangents to the curve $ y= \large\frac{1}{x-3}, $$\: x \neq 3$
cbse
class12
bookproblem
ch6
sec3
q11
p212
sec-a
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the point on the curve $y = x^3 - 11x + 5$ at which the tangent is $y = x -11$.
cbse
class12
bookproblem
ch6
sec3
q9
p212
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find points at which the tangent to the curve $y = x^3 - 3x^2 - 9x + 7$ is parallel to the $x$ - axis.
cbse
class12
bookproblem
ch6
sec3
q7
p211
sec-a
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
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