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Recent questions tagged q4
Questions
Prove that the matrices $\bigl(\begin{smallmatrix} 1 & 0 \\ 0 & 1 \end{smallmatrix} \bigr) $, $\bigl(\begin{smallmatrix} 0 & 1 \\ 1 & 0 \end{smallmatrix} \bigr) $ form a group under matrix multiplication
tnstate
class12
bookproblem
ch9
sec2
exercise9-4
p190
q4
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p ↔ q ≡ ((∼ p) ∨ q) ∧ ((∼ q) ∨ p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q4
modelpaper
mar-2007
jun-2007
oct-2008
mar-2010
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Construct the truth tables for the following statement: (p ∨ q) ∨ (∼ p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q4
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?
cbse
class12
bookproblem
ch13
misc
p582
q4
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?
cbse
class12
bookproblem
ch13
sec5
p577
q4
sec-b
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
In answering a question on a multiple choice test, a student either knows the answer or guesses. Let $ \frac{3}{4} $ be the probability that he knows the answer and $\frac{1}{4} $ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability $ \frac{1}{4} $ . What is the probability that the student knows the answer given that he answered it correctly?
cbse
class12
bookproblem
ch13
sec3
p556
q4
sec-b
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
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 $ A = \begin{bmatrix} 1 & 2 & -3 \\ 5 & 0 & 2 \\ 1 & -1 & 1 \end{bmatrix} , B = \begin{bmatrix} 3 & -1 & 2 \\ 4 & 2 & 5 \\ 2 & 0 & 3 \end{bmatrix} \text{ and } C = \begin{bmatrix} 4 & 1 & 2 \\ 0 & 3 & 2 \\ 1 & -3 & 2 \end{bmatrix} $, then compute $( A + B )$ and $( B - C )$. Also verify that $A + ( B - C ) = ( A + B ) - C. $
cbse
class12
bookproblem
ch3
sec2
q4
p81
easy
long-answer
sec-c
math
asked
Nov 26, 2012
by
pady_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 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
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
Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix} $
cbse
class12
bookproblem
ch3
sec4
q4
p97
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Find the slope of the tangent to the curve $y = x^3 - 3x + 2$ at the point whose $x$ - coordinate is $3$.
cbse
class12
bookproblem
ch6
sec3
q4
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
If $A$ and $B$ are symmetric matrices, prove that $AB - BA$ is a skew symmetric matrix.
cbse
class12
bookproblem
ch3
misc
q4
p100
easy
shortanswer
sec-b
math
asked
Nov 23, 2012
by
pady_1
1
answer
Find the intervals in which the function $f$ given by $f (x) = 2x^2 - 3x$ is $(a) $ strictly increasing
cbse
class12
bookproblem
ch6
sec2
q4
q4-b
p205
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
An edge of a variable cube is increasing at the rate of $3\; cm/s$. How fast is the volume of the cube increasing when the edge is $10\; cm$ long?
cbse
class12
bookproblem
ch6
sec1
q4
p197
sec-a
easy
math
asked
Nov 22, 2012
by
thanvigandhi_1
1
answer
Show that the function f:R $\rightarrow \{ x \in$ R:-1$<$x$<$1 $\}$ defined by $f(x) = \frac {x} { 1+|\;x\;|}, x \in R$ is one-one and onto function.
cbse
class12
bookproblem
ch1
misc
q4
p29
sec-a
math
asked
Nov 21, 2012
by
vaishali.a
1
answer
Differentiate w.r.t. \(x\) the function in \( sin^{-1}(x \: \sqrt x ), 0 \leq x \leq 1 \)
cbse
class12
bookproblem
ch5
misc
q4
p191
sec-b
medium
math
asked
Nov 21, 2012
by
thanvigandhi_1
1
answer
Verify Mean Value Theorem, if \( f (x) = x^2 - 4x - 3 \) in the interval \( [a,b]\), where \( a = 1 \) and \(b = 4 \).
cbse
class12
bookproblem
ch5
sec8
q4
p186
sec-b
easy
math
asked
Nov 21, 2012
by
thanvigandhi_1
1
answer
Find the second order derivatives of the functions given in $\log x $
cbse
class12
bookproblem
ch5
sec7
q4
p183
sec-a
easy
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $x = 4t, \: y = \large\frac{4}{t} $ without eliminating the parameter, Find $\large\frac{dy}{dx}$
cbse
class12
bookproblem
ch5
sec6
q4
p181
easy
sec-a
math
asked
Nov 19, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ x^{\large x} - 2^{\large sin \: x} $
cbse
class12
bookproblem
ch5
sec5
q4
p178
easy
sec-b
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : sin\;( tan^{-1} e^{-x}) $
cbse
class12
bookproblem
ch5
sec4
q4
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs17.50 per package on nuts and Rs 7.00 per package on bolts. How many packages of each should be produced each day so as to maximise his profit, if he operates his machines for at the most 12 hours a day?
cbse
class12
bookproblem
ch12
sec2
q4
p519
sec-c
easy
math
asked
Nov 16, 2012
by
fingeazy
1
answer
Find $ \frac {dy}{dx} $ in the following: $ xy +y^2 = tan \: x + y $
cbse
class12
bookproblem
ch5
sec3
q4
p169
exercise5-3
sec-a
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
If $f(x) = \frac { (4x+3) } { (6x-4) }, x \neq \frac {2} {3}$, show that $ f(x) =x $, for all $ x \neq \frac {2} {3}$. What is the inverse of $f$
cbse
class12
bookproblem
ch1
sec3
q4
p18
medium
sec-b
math
asked
Nov 9, 2012
by
vaishali.a
1
answer
Show that the Modulus Function \(f : R \to R\), given by \( f(x) = |\;x\;|\), is neither one-one nor onto, where\( |\;x\;|\; is\; x\), if \(x\) is positive or \(0\) and \(|\;x\;|\; is\; \) \(-\)\(x\), if \( x\) is negative.
cbse
class12
bookproblem
ch1
sec2
q4
p11
sec-a
medium
math
asked
Nov 8, 2012
by
vaishali.a
1
answer
Show that the relation \(R\) in \(R\) defined as \(R = {(a, b) : a \leq b} \), is reflexive and transitive but not symmetric.
cbse
class12
bookproblem
ch1
sec1
q4
p5
sec-a
easy
math
asked
Nov 7, 2012
by
vaishali.a
1
answer
Differentiate the functions with respect to $x$: $sec \;( tan (\sqrt x ) )$
cbse
class12
bookproblem
ch5
sec2
exercise5-2
p166
sec-a
easy
q4
math
asked
Nov 7, 2012
by
thanvigandhi_1
1
answer
Prove that the function \( f (x) = x^n \) is continuous at \( x = n \), where n is a positive integer.
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q4
math
asked
Nov 5, 2012
by
thanvigandhi_1
1
answer
A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the time (in minutes) required for each toy on the machines is given below: \[\] \begin{array}{cccc} \textbf{Types} & \textbf{Machine I} & \textbf{Machine II}& \textbf{Machine III}\\ A&12&18&6 \\ B&6&0&9 \end{array} \[\] Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is Rs 7.50 and that on each toy of type B is Rs 5, Formulate the L.P.P and solve to find the maximum profit.
cbse
class12
bookproblem
ch12
misc
q4
p526
sec-c
medium
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
Find the equation of a line parallel to x-axis and passing through the origin.
cbse
class12
bookproblem
ch11
misc
p498
q4
sec-a
easy
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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