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Questions asked by rvidyagovindarajan_1
Questions
870
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answers selected
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
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
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
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
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
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}$$(p-q)=0$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q11
math
sequences-and-series
asked
Feb 23, 2014
1
answer
If the sum of first $p$ terms of an $A.P.$ is equal to sum of first $q$ terms, then find the sum of first $p+q$ terms of the $A.P.$
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-b
q10
math
sequences-and-series
asked
Feb 23, 2014
1
answer
The sum of $n$ terms of two $A.P.s$ are in the ratio $5n+4:9n+6$ Find the ratio of their $18^{th}$ terms.
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q9
math
sequences-and-series
asked
Feb 22, 2014
1
answer
If the sum of $n$ terms of an $A.P.$ is $(pn+qn^2)$ where $p$ and $q$ are constants, then find the common difference $d$.
cbse
class11
ch9
bookproblem
exercise9-2
easy
sec-a
q8
math
sequences-and-series
asked
Feb 22, 2014
1
answer
Find the sum of $n$ terms of an $A.P.$ whose $k^{th}$ term is $5k+1$
cbse
class11
ch9
bookproblem
exercise9-2
sec-a
easy
q7
math
sequences-and-series
asked
Feb 22, 2014
1
answer
If the sum of certain number of terms of the A.P., $25,22,19................$ is $116$, then find the last term.
cbse
class11
ch9
bookproblem
exercise9-2
medium
sec-b
q6
math
sequences-and-series
asked
Feb 20, 2014
1
answer
In an $A.P.$ if $p^{th}$ term is $\large\frac{1}{q}$ and $q^{th}$ term is $\large\frac{1}{p}$, then prove that the sum of first $pq$ terms is $\large\frac{1}{2}$$(pq+1)$ where $p\neq q$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
medium
q5
math
sequences-and-series
asked
Feb 20, 2014
1
answer
How many terms of the A.P. $-6,-\large\frac{11}{2}$$, -5........$ are needed to give the sum $-25$
cbse
class11
ch9
bookproblem
exercise9-2
medium
q4
sec-b
math
sequences-and-series
asked
Feb 20, 2014
1
answer
In an $A.P.$ the first term is $2$ and the sum of first $5$ terms is one-fourth of the next five terms. Find its $20^{th}$ term.
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
q3
medium
math
sequences-and-series
asked
Feb 19, 2014
1
answer
Find the sum of all the natural numbers lying between $100\:\: and\:\: 1000$ which are multiples of $5$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
q2
easy
math
sequences-and-series
asked
Feb 19, 2014
1
answer
Find the sum of odd integers from $1 $ to $2001$
cbse
class11
ch9
bookproblem
exercise9-2
sec-b
easy
q1
math
sequences-and-series
asked
Feb 18, 2014
1
answer
The Fibanocci sequence is defined by $1=a_1=a_2\:\:and\:\:a_n=a_{n-1}+a_{n-2}\:\:for\:n>2$ Find $\large\frac{a_{n+1}}{a_n}$, for $n=1,2,3,4,5$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q14
math
sequences-and-series
asked
Feb 18, 2014
1
answer
Find the first $5$ terms of the series given by $a_1=a_2=2,\:a_n=a_{n-1}-1\:\:for\:\:n>2$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q13
math
sequences-and-series
asked
Feb 18, 2014
1
answer
Write the first five terms of the sequence given by $a_1=-1,\:a_n=\large\frac{a_{n-1}}{n}$$\:for\:n\geq 2$
cbse
class11
ch9
bookproblem
exercise9-1
sec-a
easy
q12
math
sequences-and-series
asked
Feb 18, 2014
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
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
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
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
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
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
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
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
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
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
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
1
answer
$ \text{If } \Delta = \begin{vmatrix} a_{11}&a_{12}&a_{13} \\ a_{21}&a_{22}&a_{23} \\ a_{31}&a_{32}&a_{33} \end{vmatrix} \text{ and } A_y \text{ is Cofactor of } a_y \text{, then the value of } a_{11}A_{21}+a_{12}A_{22}+a_{13}A_{23}=? $
cl786
cbse
class12
bookproblem
ch4
sec4
q5
p126
easy
sec-a
math
asked
Feb 11, 2014
1
answer
Sketch the region and find the area bounded between $y=\sqrt {5-x^2}$ and $y=|x-1|$ using integration.
cl3079
cbse
class12
ch8
q8
p176
short-answer
exemplar
sec-c
difficult
math
asked
Feb 10, 2014
1
answer
Evaluate: $\large \int \limits_{-1}^1 $$x$ $ \left | x \right |$ $ dx$.
cl1124
cbse
class12
bookproblem
ch8
misc
q17
p376
sec-a
medium
math
asked
Feb 10, 2014
1
answer
If $ \sqrt{1-y^2}-\sqrt{1-x^2}=a(x-y),\normalsize$ then find $\large\frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q45
p14
sec-b
difficult
math
jeemain
limits-continuity-and-differentiability
asked
Feb 5, 2014
1
answer
An open box with square base is to be made of a given quantity of card board of area $ 36 sq.metre.$ Find the maximum volume of the box.
cbse
class12
ch6
q29
p137
exemplar
medium
sec-c
math
asked
Feb 4, 2014
1
answer
Find the area bounded by curves $x^2 + (y-1)^2 = 1$ and $x^2 + y^2 = 1$.
class12
cbse
additionalproblem
ch8
sec-c
medium
math
asked
Feb 4, 2014
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
1
answer
Solve the differential equation $\large\frac{dy}{dx}$$=cos(x+y)+sin(x+y)$ and find the particular solution if $y(0)=0$
class12
cbse
medium
sec-c
ch9
additionalproblem
math
asked
Feb 4, 2014
1
answer
If the lines $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\lambda(3\hat i+2k\hat j-2\hat k)$ and $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\mu(k\hat i+\hat j+5\hat k)$ are $\perp$ to one another then find the equation of the plane containing them.
class12
cbse
medium
sec-c
ch11
additionalproblem
math
asked
Feb 4, 2014
1
answer
If O be the origin and the coordinates of P be (1, 2, – 3), then find the equation of the plane passing through P and perpendicular to OP.
cbse
class12
bookproblem
ch11
misc
p499
q16
sec-b
medium
math
asked
Feb 3, 2014
1
answer
If the lines $\large\frac{2x-1} {-3} = \frac{y-2}{2k} = \frac{z-3}{2}$ and $\large\frac{x-1}{3k} = \frac{1-2y}{1} = \frac{z-6}{-5}$ are perpendicular, find the value of k.
class12
cbse
easy
sec-a
ch11
additionalproblem
math
asked
Feb 3, 2014
1
answer
Find $|\overrightarrow x|$, if for a unit vector $\overrightarrow a,\:(\overrightarrow x-\overrightarrow a).(\overrightarrow x+\overrightarrow a)=15$
cbse
class12
additionalproblem
ch10
sec-a
easy
vector-algebra
math
asked
Feb 3, 2014
1
answer
If the sum of two unit vector is a unit vector, then what is the angle between them?
cbse
class12
additionalproblem
ch10
sec-a
medium
vector-algebra
math
asked
Feb 3, 2014
1
answer
A firm has to transport 1200 packages using large vans which can carry 200 packages each and small vans which can take 80 packages each.The cost for engaging each large van is Rs 400 and each small van is Rs 200.Not more than Rs 3000 is to be spent on the job and the number of large vans cannot exceed the number of small vans.What will be the minimum cost?
cbse
class12
ch12
q17
p253
exemplar
sec-c
difficult
math
asked
Feb 1, 2014
1
answer
A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that the bag has 3 white balls.
cbse
class12
ch13
additionalproblem
sec-c
difficult
math
jeemain
probability
asked
Jan 31, 2014
1
answer
$ \text{If } \begin{vmatrix} 2 x&5 \\ 8&x \end{vmatrix} = \begin{vmatrix} 4&5 \\ 8&3 \end{vmatrix},then\; x\; is\; equal\; to$
cbse
class12
bookproblem
ch4
sec1
q8
p109
easy
sec-a
math
asked
Jan 31, 2014
1
answer
If $A= \; \begin{bmatrix} 1& 0 &0 \\ 2 & 3 & 4\\ 0&1 & 2 \end{bmatrix}$, then the value of $A.(Adj\:A)$ is?
cbse
class12
ch4
additionalproblem
easy
sec-a
math
asked
Jan 30, 2014
1
answer
If $A=\begin{bmatrix}2 & 3\\5 & -2\end{bmatrix}$ then express $A^{-1}$ in terms of $A$
cbse
class12
additionalproblem
ch3
sec-a
math
asked
Jan 30, 2014
1
answer
If $A=\begin{bmatrix}2 & sec^{-1}x\\-1 & cosec^{-1} x \end{bmatrix}$ is a singular matrix then find the value of $x$
cbse
class12
matrices
additionalproblem
medium
sec-a
ch3
math
jeemain
matrices-and-determinants
asked
Jan 28, 2014
1
answer
If $3\tan^{-1}x+4\cot^{-1}x=2\pi$ then $ x$ =?
cbse
class12
ch2
q22
p37
objective
exemplar
easy
sec-a
math
jeemain
trigonometry
inverse-trignometric-functions
asked
Jan 28, 2014
1
answer
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