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CBSE XI
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Math
Math
Sets
Relations and Functions
Trigonometric Functions
Principle of Mathematical Induction
Complex Numbers and Quadratic Equations
Linear Inequalities
Permutations and Combinations
Binomial Theorem
Sequences and Series
Straight Lines
Conic Sections
Introduction to Three Dimensional Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
The $5^{th},8^{th}\:and\:11^{th}$ terms of a $G.P.$ are $p,q\:and\:s$ respectively. Show that $q^2=ps$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q3
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Find the $12^{th}$ term of the $G.P.$ whose $8^{th}$ term is $192$ and common ratio=$2$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q2
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Find the $20^{th}$ term of the $G.P.\:\:\large\frac{5}{2},\frac{5}{4},\frac{5}{8},..........$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q1
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
The difference between any two consecutive interior angles of a polygon is $5^\circ$. If the smallest angle is $120^ \circ$, then find the number of sides of the polygon.
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q18
math
sequences-and-series
asked
Feb 24, 2014
by
rvidyagovindarajan_1
1
answer
A man starts repaying a loan as first installment of $Rs.100$. If he increases the installment by $Rs.5$ every month, what amount he will pay in his $30^{th}$ installment?
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-a
q17
math
sequences-and-series
asked
Feb 24, 2014
by
rvidyagovindarajan_1
1
answer
Between $1\:\:and\:\:31$ $m$ numbers are inserted so that the resulting sequence is an $A.P.$ and the ratio of $7^{th}\:\;and\:\:(m-1)^{th}$ numbers is $5:9$. find the value of $m$.
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-b
q16
math
sequences-and-series
asked
Feb 24, 2014
by
rvidyagovindarajan_1
1
answer
If $\large\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$ is the $A.M.$ between $a$ and $b$, then find the value of $n$
cbse
class11
ch9
bookproblem
exercise9-2
medium
sec-b
q15
math
sequences-and-series
asked
Feb 24, 2014
by
rvidyagovindarajan_1
1
answer
Insert $5$ numbers between $8\:and\:26$ such that the resulting sequence is an $A.P.$
cbse
class11
ch9
bookproblem
exercise9-2
sec-a
easy
q14
math
sequences-and-series
asked
Feb 23, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of $n$ terms of an $A.P.$ is $3n^2+5n$ and its $m^{th}$ term is $164$, find the value of $m$.
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-a
q13
math
sequences-and-series
asked
Feb 23, 2014
by
rvidyagovindarajan_1
1
answer
The ratio of the sums of $m\:\:and\:\:n$ terms of an $A.P.$ is $m^2:n^2$. Show that the ratio of $m^{th}\:and\:n^{th}$ term is $(2m-1):(2n-1)$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
difficult
q12
math
sequences-and-series
asked
Feb 23, 2014
by
rvidyagovindarajan_1
1
answer
Sum of first $p,q\:\:and\:\:r\:terms$ of an $A.P.$ are $a,b\:\:and\:\:c$ respectively. Prove that $\large\frac{a}{p}$$(q-r)+\large\frac{b}{q}$$(r-p)+\large\frac{c}{r}$$(p-q)=0$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q11
math
sequences-and-series
asked
Feb 23, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of first $p$ terms of an $A.P.$ is equal to sum of first $q$ terms, then find the sum of first $p+q$ terms of the $A.P.$
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-b
q10
math
sequences-and-series
asked
Feb 23, 2014
by
rvidyagovindarajan_1
1
answer
The sum of $n$ terms of two $A.P.s$ are in the ratio $5n+4:9n+6$ Find the ratio of their $18^{th}$ terms.
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q9
math
sequences-and-series
asked
Feb 22, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of $n$ terms of an $A.P.$ is $(pn+qn^2)$ where $p$ and $q$ are constants, then find the common difference $d$.
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-a
q8
math
sequences-and-series
asked
Feb 22, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of an $A.P.$ whose $k^{th}$ term is $5k+1$
cbse
class11
ch9
bookproblem
exercise9-2
sec-a
easy
q7
math
sequences-and-series
asked
Feb 22, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of certain number of terms of the A.P., $25,22,19................$ is $116$, then find the last term.
cbse
class11
ch9
bookproblem
exercise9-2
medium
sec-b
q6
math
sequences-and-series
asked
Feb 20, 2014
by
rvidyagovindarajan_1
1
answer
In an $A.P.$ if $p^{th}$ term is $\large\frac{1}{q}$ and $q^{th}$ term is $\large\frac{1}{p}$, then prove that the sum of first $pq$ terms is $\large\frac{1}{2}$$(pq+1)$ where $p\neq q$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q5
math
sequences-and-series
asked
Feb 20, 2014
by
rvidyagovindarajan_1
1
answer
How many terms of the A.P. $-6,-\large\frac{11}{2}$$, -5........$ are needed to give the sum $-25$
cbse
class11
ch9
bookproblem
exercise9-2
medium
q4
sec-b
math
sequences-and-series
asked
Feb 20, 2014
by
rvidyagovindarajan_1
1
answer
In an $A.P.$ the first term is $2$ and the sum of first $5$ terms is one-fourth of the next five terms. Find its $20^{th}$ term.
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
q3
medium
math
sequences-and-series
asked
Feb 19, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all the natural numbers lying between $100\:\: and\:\: 1000$ which are multiples of $5$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
q2
easy
math
sequences-and-series
asked
Feb 19, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of odd integers from $1 $ to $2001$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
easy
q1
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
The Fibanocci sequence is defined by $1=a_1=a_2\:\:and\:\:a_n=a_{n-1}+a_{n-2}\:\:for\:n>2$ Find $\large\frac{a_{n+1}}{a_n}$, for $n=1,2,3,4,5$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q14
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Find the first $5$ terms of the series given by $a_1=a_2=2,\:a_n=a_{n-1}-1\:\:for\:\:n>2$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q13
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Write the first five terms of the sequence given by $a_1=-1,\:a_n=\large\frac{a_{n-1}}{n}$$\:for\:n\geq 2$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q12
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Find the first five terms of the sequence given by $a_1=3,\:a_n=3a_{n-1}+2\:\:\forall \:n\in N\:and\:n>1$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q11
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Find $a_{20}$ if $a_n=\large\frac{n(n-2)}{n+3}$
cbse
class11
ch9
bookproblem
exercise9-1
easy
sec-a
q10
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Find $a_9$ if $a_n=(-1)^{n-1}.n^3$
cbse
class11
ch9
bookproblem
exercise9-1
easy
sec-a
q9
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Find $a_7$ if $a_n=\large\frac{n^2}{2^{n}}$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q8
math
sequences-and-series
asked
Feb 18, 2014
by
rvidyagovindarajan_1
1
answer
Find $a_{17},\:a_{24}$ if $a_n=4n-3$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q7
math
sequences-and-series
asked
Feb 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the first 5 terms of the sequence whose general term is $t_n=n.\large\frac{n^2+5}{4}$
cbse
class11
bookproblem
ch9
exercise9-1
sec-a
q6
easy
math
sequences-and-series
asked
Feb 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the first $5$ terms of the sequence whose general term is $t_n=(-1)^{n-1}.\:5^{n+1}$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
q5
easy
math
sequences-and-series
asked
Feb 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the first 5 terms of the series whose general term is given by $t_n=\large\frac{2n-3}{6}$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
q4
easy
math
sequences-and-series
asked
Feb 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the first $5$ terms of the sequence whose $n^{th}$ term is given by $t_n=2^n$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
q3
easy
math
sequences-and-series
asked
Feb 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the first 5 terms of the sequence whose $n^{th}$ term is given by $t_n=\large\frac{n}{n+1}$
cbse
class11
bookproblem
ch9
exercise9-1
sec-a
q2
easy
math
sequences-and-series
asked
Feb 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the first 5 terms of the series whose $n^{th} $ term is $a_n=n(n+2)$
cbse
class11
bookproblem
ch9
exercise9-1
easy
sec-a
q1
math
sequences-and-series
asked
Feb 15, 2014
by
rvidyagovindarajan_1
1
answer
(n+2)! = 60(n-1)!
cbse
class11
sec-b
medium
asked
Jun 4, 2013
by
munluohaupu
1
answer
The range of $f (x)=\large\frac{1+x^2}{x^2}$ is
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
Apr 28, 2013
by
rvidyagovindarajan_1
1
answer
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