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Recent questions tagged sec2
Questions
Show that $9^{n+1} – 8n – 9$ is divisible by $64$, whenever $n$ is a positive integer.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q12
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Find $(x+1)^6 + (x – 1)^6$. Hence, evaluate $( \sqrt2 + 1)^6+(\sqrt 2 –1)^6$.
cl37644
cl37642
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q12
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Find $ (a + b)^4 - (a - b)^4.$ Hence, evaluate $( \sqrt3 + \sqrt2)^4 - (\sqrt 3 - \sqrt 2)^4$.
cl37642
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q11
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or $1000$.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q10
sec-a
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $101^4$
cl37637
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q8
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $99^5$
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q9
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $102^6$
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q7
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $96^3$.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q6
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(x + \large\frac{1}{x}$$)^6$
cl37497
cl37493
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q5
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $\large(\frac{x}{3} + \frac{1}{x})$$^5$
cl37493
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q4
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(2x-3)^6$
cl37493
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q3
easy
sec-a
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $\large(\frac{2}{x} - \frac{x}{2})$$^5$
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q2
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(1-2x)^5$
easy
sec-a
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q1
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the area bounded by curves \((x - 1)^2 + y^2 = 1\) and \(x^2 + y^2 = 1.\)
cbse
class12
bookproblem
ch8
sec2
q2
p371
sec-b
medium
math
asked
Feb 4, 2014
by
rvidyagovindarajan_1
1
answer
A discrete random variable X has the following probability distributions (see table below). (iii) Find P(3 < x < 7)
tnstate
class12
bookproblem
ch10
sec2
exercise10-1
p203
q4
q4-3
asked
Sep 16, 2013
by
sreemathi.v
1
answer
A discrete random variable X has the following probability distributions (see table below). (ii) Find P(x < 3)
tnstate
class12
bookproblem
ch10
sec2
exercise10-1
p203
q4
q4-2
asked
Sep 16, 2013
by
sreemathi.v
1
answer
Find the intervals in which the function $f$ given by $f (x) = 2x^2 – 3x$ is $ (b)\; strictly\; decreasing$
cbse
class12
bookproblem
ch6
sec2
q4
q4-b
p205
sec-a
easy
math
asked
Aug 16, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(e) \;(x+1)^3(x-3)^3$
cbse
class12
bookproblem
ch6
sec2
q6
q6-e
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(d) \;6-9x-x^2$
cbse
class12
bookproblem
ch6
sec2
q6
q6-d
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(c) \;-2x^3-9x^2-12x+1$
cbse
class12
bookproblem
ch6
sec2
q6
q6-c
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
Find the intervals in which the following functions are strictly increasing or decreasing: $(b) \;10-6x-2x^2$
cbse
class12
bookproblem
ch6
sec2
q6
q6-b
p205
sec-b
easy
math
asked
Jul 9, 2013
by
sreemathi.v
1
answer
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads English news paper, find the probability that she reads Hindi news paper.
bookproblem
cbse
class12
ch13
sec2
q16
easy
sec-a
q16-3
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads Hindi news paper, find the probability that she reads English news paper.
class12
cbse
bookproblem
ch13
sec2
q16
q16-2
easy
sec-a
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. Find the probability that she reads neither Hindi nor English news papers.
class12
bookproblem
cbse
p548
sec2
ch13
easy
sec-a
q16
q16-1
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? (i) E : the card drawn is a spade F : the card drawn is an ace (ii) E : the card drawn is black F : the card drawn is a king (iii) E : the card drawn is a king or queen F : the card drawn is a queen or jack.
bookproblem
cbse
class12
ch13
sec2
sec-b
easy
p547
q15
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is a king or queen F : the card drawn is a queen or jack?
class12
easy
p547
q15
q15-3
sec-a
sec2
ch13
bookproblem
cbse
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is black F : the card drawn is a king?
cbse
class12
bookproblem
ch13
sec2
sec-a
easy
q15
q15-2
p547
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j -2\hat k + \lambda (\hat i - \hat j -2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j-56 \hat k+ \mu (3 \hat i -5\hat j - 4\hat k) $
cbse
class12
bookproblem
ch11
sec2
q10-2
p478
easy
sec-b
math
asked
Jun 5, 2013
by
meena.p
1
answer
In triangle ABC (Fig 10.18),which of the following is not true :
cbse
class12
bookproblem
ch10
sec2
q18
p441
sec-a
easy
math
asked
May 20, 2013
by
sreemathi.v
1
answer
Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are $ \hat i + 2\hat j − \hat k$ and $– \hat i + \hat j + \hat k$ respectively, in the ratio $2 : 1$ externally
cbse
class12
bookproblem
ch10
sec2
q15
q15-2
p440
sec-b
medium
math
asked
May 20, 2013
by
sreemathi.v
1
answer
Compute the magnitude of the following vectors: $(iii)\;\overrightarrow c = \large\frac{1}{\sqrt 3}$$\hat i +\large \frac{1}{\sqrt 3}$$\hat j - \large\frac{1}{\sqrt 3}$$\hat k$
cbse
class12
bookproblem
ch10
sec2
q1
q1-3
p440
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Compute the magnitude of the following vectors: $(ii)\; \overrightarrow b = 2\hat i - 7 \hat j - 3\hat k $
cbse
class12
bookproblem
ch10
sec2
q1
q1-2
p440
sec-a
easy
math
asked
May 16, 2013
by
sreemathi.v
1
answer
Find the angle between the following pair of lines: $ \frac{\large x}{\large 2} = \frac{\large y}{\large 2} = \frac{\large z}{\large 1} \: and\: \frac{\large x-5}{\large 4} = \frac{\large y-2}{\large 1} = \frac{\large z - 3}{\large 8} $
cbse
class12
ch11
bookproblem
easy
p478
sec2
q11-2
sec-b
math
asked
May 1, 2013
by
rvidyagovindarajan_1
1
answer
Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j - 2\hat k + \lambda (\hat i - \hat j - 2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j - 56\hat k + \mu (3\hat i - 5\hat j - 4\hat k) $
cbse
bookproblem
class12
ch11
sec2
p478
q10-2
easy
sec-b
q10
math
asked
Apr 30, 2013
by
rvidyagovindarajan_1
1
answer
Differentiate the following functions with respect to $x:\; sinx(ax+b)$
cbse
class12
bookproblem
ch5
sec2
exercise5-2
p166
sec-a
easy
q3
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Consider a binary operation * on the set ${1,2,3,4,5}$ given by the following multiplication table:
cbse
class12
ch1
sec2
q10
sec-a
easy
math
asked
Mar 19, 2013
by
balaji.thirumalai
0
answers
In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.(ii) \(f : R\; \to R\; defined \; by \; f(x)\; =\; 1+x^2\)
cbse
class12
bookproblem
ch1
sec2
q7
q7-2
p11
easy
sec-a
math
asked
Mar 18, 2013
by
meena.p
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 $2sin^{-1} \frac{3}{5}$ 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
Check the injectivity and surjectivity of the following functions: (i) \(f : N\to N\; given\; by\; f(x)\; = x^2 \)
cbse
class12
bookproblem
ch1
sec2
q2
q2-1
p10
easy
sec-a
math
asked
Mar 14, 2013
by
meena.p
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
By using the properties of determinants show that $ (ii) \begin{vmatrix} x+y+2z&x&y \\ z&y+z+2x&y \\ z&x&z+x+2y \end{vmatrix} = 2(x+y+z)^3 $
cbse
class12
bookproblem
ch4
sec2
q11
q11-2
p120
medium
sec-b
math
asked
Mar 11, 2013
by
sreemathi.v
1
answer
By using the properties of determinants show that $ (ii) \begin{vmatrix} y+k&y&y \\ y&y+k&y \\ y&y&y+k \end{vmatrix} = k^2 (3y+k)$
cbse
class12
bookproblem
ch4
sec2
q10
q10-2
p120
medium
sec-b
math
asked
Mar 11, 2013
by
sreemathi.v
1
answer
State whether the function is one-one, onto or bijective.
$f : R\; \to R$ defined by $f(x)\; =\; 1+x^2$
cbse
class12
bookproblem
ch1
sec2
q7
q7-2
p11
sec-a
math
asked
Mar 6, 2013
by
meena.p
1
answer
By using the properties of determinants show that $ (ii) \quad \begin{vmatrix} 1&1&1 \\ a&b&c \\ a^3&b^3&c^3 \end{vmatrix} = (a-b)(b-c)(c-a)(a+b+c) $
cbse
class12
bookproblem
ch4
sec2
q8
q8-2
p120
easy
sec-b
math
asked
Mar 6, 2013
by
sreemathi.v
1
answer
Check the injectivity and surjectivity of the following functions: $f : Z\to Z$ given by $f(x)\; = x^3$
cbse
class12
bookproblem
ch1
sec2
q2
q2-5
p10
easy
sec-a
math
asked
Mar 5, 2013
by
meena.p
1
answer
Check the injectivity and surjectivity of the following functions:(iv) \(f : N\to N\; given\; by\; f(x)\; = x^3 \)
cbse
class12
bookproblem
ch1
sec2
q2
q2-4
p10
sec-b
math
asked
Mar 5, 2013
by
meena.p
1
answer
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