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Questions asked by rvidyagovindarajan_1
Questions
870
questions
0
answers selected
A manufacturer reckons that the value of a machine which costs him $Rs.15,625$, will depreciate each year by $20\%$. find the estimated value at the end of $5$ years.
cbse
class11
ch9
misc
bookproblem
sequences-and-series
sec-b
easy
q31
math
asked
Apr 11, 2014
1
answer
A man deposited $Rs. 10,000$ in a bank at the rate of $5\%$ simple interest annually. Find the amount in $15^{th}$ year since he deposited the amount and also find the total amount after $20$ ears.
cbse
class11
ch9
misc
bookproblem
sequences-and-series
medium
sec-b
math
asked
Apr 10, 2014
1
answer
A person writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with the instruction that they move the chain similarly. Assuming that the chain is not broken, and that it costs 50 paise to mail one letter, find the amount spent on the postage when $8^{th}$ set of letter is mailed.
cbse
class11
ch9
misc
bookproblem
sec-b
easy
q29
sequences-and-series
math
asked
Apr 9, 2014
1
answer
Shamshad Ali buys a scooter for Rs. 22,000. He pays Rs. 4,000 cash and agrees to pay the balance in annual installment of Rs. 1,000 plus 10% interest on the unpaid amount. How much will the scooter costs him?
cbse
class11
ch9
bookproblem
easy
sec-c
misc
q28
math
sequences-and-series
asked
Apr 9, 2014
1
answer
A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6,000 cash and agrees to pay the balance in annual installments of Rs. 500 plus 12% interest on the unpaid amount. How much will the tractor cost him?
cbse
class11
ch9
bookproblem
misc
easy
sec-b
q27
math
sequences-and-series
asked
Apr 8, 2014
1
answer
Show that $\large\frac{1\times2^2+2\times 3^2+........n\times (n+1)^2}{1^2\times 2+2^2\times 3+.........n^2\times (n+1)}=\frac{3n+5}{3n+1}$
cbse
class11
ch9
bookproblem
sequences-and-series
misc
sec-c
difficult
q26
math
asked
Apr 7, 2014
1
answer
Find the sum of $n$ terms of the series $3+7+13+21+31+.............$
cbse
class11
ch9
bookproblem
misc
medium
sec-c
q23
math
sequences-and-series
asked
Apr 2, 2014
1
answer
Find the $20^{th}$ term of the series $2\times 4+4\times 6+6\times 8+..........$
cbse
class11
ch9
bookproblem
misc
sec-a
easy
q22
math
sequences-and-series
asked
Apr 2, 2014
1
answer
Find the sum of $n$ terms of the series $\large\frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+.........$
cbse
class11
ch9
bookproblem
misc
sec-c
difficult
q25
math
sequences-and-series
asked
Apr 2, 2014
1
answer
If $S_1,S_2,S_3$ are the sum of $n$ natural numbers,sum of their squares and sum of their cubes respectively then Show that $9S_2^2=S_3(1+8S_1)$
cbse
class11
ch9
bookproblem
misc
sec-a
medium
q24
math
sequences-and-series
asked
Apr 2, 2014
1
answer
Find the sum of $n$ terms of the series $0.6+0.66+0.666+......$
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q21-2
math
sequences-and-series
asked
Apr 2, 2014
1
answer
Find the sum of the series $5+55+555+..........$ upto $n$ terms.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q21-1
math
sequences-and-series
asked
Apr 2, 2014
1
answer
If $a,b,c$ are in A.P., $b,c,d$ are in G.P. and $\large\frac{1}{c},\frac{1}{d},\frac{1}{e}$ are in A.P., then prove that $a,c,e$ are in G.P.$
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q20
math
sequences-and-series
asked
Apr 2, 2014
1
answer
The ratio of A.M. and G.M. of two positive numbers $a$ and $b$ is $m:n$. Show that $a:b=(m+\sqrt {m^2-n^2}):(m-\sqrt {m^2-n^2})$
cbse
class11
ch9
bookproblem
misc
difficult
sec-c
q19
math
sequences-and-series
asked
Mar 31, 2014
1
answer
If $a$ and $b$ are roots of $x^2-3x+p=0$ and $c$ and $d$ are roots of $x^2-12x+q=0$, where $a,b,c,d$ form a G.P. then prove that $(q+p):(q-p)=17:15$
cbse
class11
ch9
bookproblem
misc
difficult
sec-c
q18
math
sequences-and-series
asked
Mar 31, 2014
1
answer
If $a,b,c,d$ are in G.P. then show that $(a^n+b^n),(b^n+c^n),(c^n+d^n)$ are in G.P.
cbse
class11
ch9
bookproblem
sec-b
difficult
misc
q17
math
sequences-and-series
asked
Mar 31, 2014
1
answer
If $a\bigg(\large\frac{1}{b}+\frac{1}{c}\bigg)$$,\:b\bigg(\large\frac{1}{c}+\frac{1}{a}\bigg)$$,\:c\bigg(\large\frac{1}{a}+\frac{1}{b}\bigg)$ are in A.P., then prove that $a,b,c$ are in A.P.
cbse
class11
ch9
bookproblem
misc
difficult
sec-b
q16
math
sequences-and-series
asked
Mar 31, 2014
1
answer
If $p^{th},\:q^{th}\:\:and\:\:r^{th}$ terms oa an A.P. are $a,\:b\:and\:c$ respectively, then show that $(q-r)a+(r-p)b+(p-q)c=0$
cbse
class11
ch9
misc
bookproblem
medium
sec-b
q15
math
sequences-and-series
asked
Mar 31, 2014
1
answer
Let $S$ be the sum, $P$ the product and $R$ the sum of reciprocals of $n$ terms of a G.P. Prove that $P^2R^n=S^n$
cbse
class11
ch9
bookproblem
misc
difficult
sec-c
q14
math
sequences-and-series
asked
Mar 31, 2014
1
answer
If $\large\frac{a+bx}{a-bx}=\frac{b+cx}{b-cx}=\frac{c+dx}{c-dx}$$\:(x\neq0)$, then show that $a,b,c\:and\:d$ are in G.P.
cbse
class11
ch9
bookproblem
misc
difficult
sec-b
q13
math
sequences-and-series
asked
Mar 30, 2014
1
answer
The sum of first four terms of an A.P. is $56$. The sum of last four terms is $112$. If its first term is $11$ then find the number of terms.
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q12
math
sequences-and-series
asked
Mar 30, 2014
1
answer
A G.P. consists of even number of terms. If the sum of all the numbers is $5$ times the sum of terms occupying the odd places, then find the common ratio.
cbse
class11
ch9
bookproblem
misc
sec-b
difficult
q11
math
sequences-and-series
asked
Mar 30, 2014
1
answer
The sum of three numbers in G.P. is $56$. If we subtract $1,7,21$ from the numbers in that order, we obtain an A.P. Find the numbers.
cbse
class11
ch9
bookproblem
sec-b
medium
misc
q10
math
sequences-and-series
asked
Mar 30, 2014
1
answer
The first term of a G.P. is $1$. The sum of third term and fifth term is $90$. Find the common ratio of the G.P.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q9
math
sequences-and-series
asked
Mar 30, 2014
1
answer
The sum of some terms of a G.P. is $315$ whose first term and the common ratio are $5$ and $2$ respectively. Find the last term and number of terms of the series.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q8
math
sequences-and-series
asked
Mar 30, 2014
1
answer
If $f$ is a function satisfying $f(x+y)=f(x).f(y)\:\:\forall x,y\in N$ such that $f(1)=3\:\:and\:\:\displaystyle\sum ^{n}_{x=1} f(x)=120$, then find the value of $n$.
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q7
math
sequences-and-series
asked
Mar 29, 2014
1
answer
Find the sum of all two digit numbers which when divided by $4$ yields $1$ as remainder.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q6
math
sequences-and-series
asked
Mar 29, 2014
1
answer
Find the sum of all the integers from $1$ and $100$ that are divisible by $2$ or $5$.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q5
math
sequences-and-series
asked
Mar 29, 2014
1
answer
Find the sum of all the numbers between $200$ and $400$ which are divisible by $7$.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q4
math
sequences-and-series
asked
Mar 28, 2014
1
answer
If the sum of $n,2n\:and\:3n$ terms of an A.P. are $S_1,S_2\:and\:S_3$ respectively, then show that $S_3=3(S_2-S_1)$
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q3
math
sequences-and-series
asked
Mar 28, 2014
1
answer
If the sum of three numbers in A.P. is $24$ and their product is $440$, then find the numbers.
cbse
class11
ch9
bookproblem
misc
easy
sec-b
q2
math
sequences-and-series
asked
Mar 28, 2014
1
answer
Show that the sum of $(m+n)^{th}$ and $(m-n)^{th}$ terms of an A.P is twice its $m^{th}$ term.
cbse
class11
ch9
misc
bookproblem
sec-a
easy
q1
math
sequences-and-series
asked
Mar 27, 2014
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is $(2n-1)^2$
cbse
class11
ch9
bookproblem
exercise9-4
sec-b
easy
q10
math
sequences-and-series
asked
Mar 27, 2014
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n^2+2^n$.
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-b
q9
math
sequences-and-series
asked
Mar 24, 2014
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n(n+1)(n+4)$
cbse
class11
ch9
bookproblem
exercise9-4
easy
sec-b
q8
math
sequences-and-series
asked
Mar 24, 2014
1
answer
Find the sum to $n$ terms of the series $1^2+(1^2+2^2)+(1^2+2^2+3^2)+........$
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-c
q7
math
sequences-and-series
asked
Mar 24, 2014
1
answer
Two schools $P$ and $Q$ want to award their selected students on the values of Tolerance,Kindness and Leadership. The school $P$ wants to award $Rs.x,\:Rs.y\:and\:\:Rs.z$ each for the three respective values to $3,2\:and\:1$ students respectively with a total award money of $ Rs.2,200.$ School $Q$ wants to spend $Rs.3,100$ to award its 4,1 and 3 students on the respective values (by giving the same award money to the three values as school $P$). If the total amount of award for one prize on each value is $Rs.1,200,$ using matrices, find the award money for each value.
cbse
class12
modelpaper-2014
65-2-3
sec-c
q25
math
asked
Mar 23, 2014
1
answer
If $x=a\:cos\theta+b\:sin\theta$ and $y=a\:sin\theta-b\:cos\theta$, then show that $y^2.\large\frac{d^2y}{dx^2}$$-x\large\frac{dy}{dx}$$+y=0$
cbse
class12
modelpaper-2014
65-2-3
sec-b
q17
math
asked
Mar 23, 2014
1
answer
Three cards are drawn at random (without replacement) from a well shuffled pack of 52 playing cards. Find the probability distribution of number of red cards. Hence find the mean of the distribution.
cbse
class12
modelpaper-2014
65-2-3
sec-b
q16
math
asked
Mar 23, 2014
1
answer
Show that $cot^{-1}7+cos^{-1}8+cot^{-1}18=cot^{-1}3$
cbse
class12
modelpaper-2014
65-2-3
sec-b
q14-b
math
asked
Mar 21, 2014
1
answer
Solve: $cos(tan^{-1}x)=sin(cot^{-1}(\large\frac{3}{4}))$
cbse
class12
modelpaper-2014
65-2-3
sec-b
q14-a
math
asked
Mar 21, 2014
1
answer
Integrate the function $(3x-2)\sqrt{x^2+x+1}$
cbse
class12
modelpaper-2014
65-2-3
q18-b
math
sec-b
asked
Mar 21, 2014
1
answer
Solve the differential equation $(x^2-yx^2)dy+(y^2+x^2y^2)dx=0$ Given $y=1$ when $x=1$
cbse
class12
modelpaper-2014
65-2-3
sec-b
q13
math
asked
Mar 21, 2014
1
answer
Find a unit vector perpendicular to each of the vector \( \overrightarrow a + \overrightarrow b\) and \( \overrightarrow a - \overrightarrow b\), where \( \overrightarrow a = \hat i + \hat j + \hat k\) and \( \overrightarrow b = \hat i + 2\hat j +3\hat k\)
cbse
class12
modelpaper-2014
65-2-3
sec-b
q11-b
math
asked
Mar 21, 2014
1
answer
Find the distance of the point $P(-1,-5,-10)$ from the point of intersection of the line joining the points $A(2,-1,2)$ and $B(5,3,4)$with the plane $x-y+z=5$
cbse
class12
modelpaper-2014
65-2-3
sec-c
q24-b
math
asked
Mar 21, 2014
1
answer
Find the equation of the plane that contains the point $(1,-1,2)$ and is $\perp$ to the planes $2x+3y-2z=5$ and $x+2y-3z=8$. Hence find the distance of the point $(-2,5,5)$ from the plane obtained above.
cbse
class12
modelpaper-2014
65-2-3
sec-c
q24-a
math
asked
Mar 21, 2014
1
answer
Find the distance between the two lines $l_1$ and $l_2$ where $l_1: \overrightarrow r=(\hat i+2\hat j-4\hat k)+\lambda(2\hat i+3\hat j+6\hat k)$ and $l_2: \overrightarrow r=(3\hat i+3\hat j-5\hat k)+\mu(4\hat i+6\hat j+12\hat k)$
cbse
class12
modelpaper-2014
65-2-3
sec-b
q19
math
asked
Mar 21, 2014
1
answer
Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} a^2&bc&ac+c^2 \\ a^2+ab&b^2&ac \\ ab&b^2+bc&c^2 \end{vmatrix} = 4a^2b^2c^2\]
cbse
class12
modelpaper-2014
65-2-3
sec-b
q22
math
asked
Mar 21, 2014
1
answer
Find the value of $\hat i\times (\hat j+\hat k)+\hat j\times (\hat k+\hat i)+\hat k\times (\hat i+\hat j)$
cbse
class12
modelpaper-2014
65-2-3
sec-a
q9
math
asked
Mar 21, 2014
1
answer
Find the value of $a-2b$ if $\begin{bmatrix}a+4 & 3b\\8 & -6\end{bmatrix}=\begin{bmatrix}2a+2 & b+2\\8 & a-8b\end{bmatrix}\qquad$
cbse
class12
modelpaper-2014
65-2-3
sec-a
q8
math
asked
Mar 21, 2014
1
answer
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