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Recent questions tagged class11
Questions
If two events A and B $ P( A \cup B ) = 0.5\: and \: P(A \cap B ) = 0.4$ then $ P(A')+P(B')=$
jeemain
math
cbse
class11
probability
axiomatic-approach-to-probability
easy
q15
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
An unbiased die is rolled four times. Out of four face values obtained, the probability that the minimum face is not less than 2 and the maximum face is not greater than 5 is
jeemain
math
cbse
class11
probability
event
easy
q14
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
For two independent events A and B $ P( A \cap B ) = \large\frac{3}{25}\: P(A' \cap B) = \large\frac{8}{25}$ then $ P(B) = $
jeemain
cbse
class11
probability
axiomatic-approach-to-probability
easy
q13
math
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
If A and B are two events such that $ P ( A \cup B) = \large\frac{5}{6}, \: P ( A \cap B ) = \large\frac{1}{3} \: and \: P(B') = \large\frac{1}{2}$ then events A and B are
jeemain
math
cbse
class11
probability
axiomatic-approach-to-probability
medium
q1
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
A and B are two horses. The probability of A winning a race is $ \large\frac{1}{3}$ and that of horse B winning the same race, is $ \large\frac{1}{5}$. The probability that none of them will win is :
jeemain
math
cbse
class11
probability
axiomatic-approach-to-probability
easy
q12
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
There are 9999 tickets bearing numbers 0001, 0002, ..... 9999. If one ticket is selected from these tickets at random, the probability that the number on the ticket will consists of all different digits is :
jeemain
math
cbse
class11
probability
easy
random-experiements
q10
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
Find the sum of first 25 terms of the sequence 5,5.5,5.55,5.555-----------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q40
asked
Jan 2, 2014
by
yamini.v
0
answers
How many terms of the series $6, 3, \large\frac{3}{2}$------ will make a sum of $\large\frac{765}{64}$.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q39
asked
Jan 2, 2014
by
yamini.v
1
answer
How many terms of the series $\sqrt2$, 2, $2\sqrt2$,------- will make a sum of $62+31\sqrt2$ ?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q38
asked
Jan 2, 2014
by
yamini.v
1
answer
If the sum of n terms of the AP 55, 57, 59------ is equal to the sum of first 2n terms of the AP 1, 4, 710--------then n equals
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q37
asked
Jan 2, 2014
by
yamini.v
1
answer
What is the harmonic mean of the two roots of the following equation $(5+\sqrt2)x^2-(4+\sqrt5)x+8+2\sqrt5=0$
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q36
asked
Jan 2, 2014
by
yamini.v
1
answer
In an AP of 10 numbers and a HP of 10 numbers, the first term and last term are the same and equal to 2 and 3. Find the value of product of fourth term of the AP and the seventh term of the HP.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q35
asked
Jan 2, 2014
by
yamini.v
1
answer
The third term of a GP is 2. Calculate the product of the first 5 terms.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q34
asked
Jan 2, 2014
by
yamini.v
1
answer
If the p and q are roots of the equation $x^2-7x+A=0\;\xi\;r\;\xi\;s$ are roots of equation $x^2-19x+B=0,$ find the values of $A\;\xi\;B$ if p,q,r,s are in AP.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q33
asked
Jan 2, 2014
by
yamini.v
1
answer
Two fair coins are tossed. What is the probability that at least one head occurs.
jeemain
math
cbse
class11
probability
easy
events
q1
asked
Jan 2, 2014
by
thanvigandhi_1
1
answer
The sum of integers from 1 to 200 that are divisible by 2 or 5 is
jeemain
math
class11
ch9
sequences-and-series
easy
q32
asked
Jan 2, 2014
by
yamini.v
1
answer
If $a, b, c$ are in $AP$ and $a^2,b^2,c^2$ are in $HP$, how are $a, b$ and $\large\frac{-c}{2}$ related?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q31
asked
Jan 2, 2014
by
yamini.v
1
answer
If the $ i^{th},j^{th}\; and\; k^{th} $ term of an AP and a GP are equal and are $x,y,z$ find the value of $x^{(y-z)}\;.y^{(z-x)}\;.z^{(x-y)}$
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q30
asked
Jan 2, 2014
by
yamini.v
1
answer
If a$\xi\;b$ are two positive integers,x is their AM and $y\;\xi\;z$ are two GMs then calculate the value of $\frac{y^3+z^3}{xyz}$
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q29
asked
Jan 2, 2014
by
yamini.v
1
answer
If the harmonic mean H and geometric mean G of two positive numbers a and b are in ratio 3:5, then a and b are in the ratio
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q28
asked
Jan 2, 2014
by
yamini.v
1
answer
In a triangle $\bigtriangleup ABC$,a,b,c are its sides ,A,B $\xi\;$ C are its angles, if $\cot A,\cot B\;\xi\;\cot C$ are in AP , the a,b, and c are in which progression?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q27
asked
Jan 2, 2014
by
yamini.v
1
answer
An infinite GP has its first term as x and sum is 6 , then which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q26
asked
Jan 2, 2014
by
yamini.v
1
answer
If 5, x, y, z, 1280 are in GP, what are the values of x, y, z.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q25
asked
Jan 2, 2014
by
yamini.v
1
answer
If the $4^{th}$ term of a GP is the square of its second term and the first term is -2. Find the $7^{th}$ term of the GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q24
asked
Jan 2, 2014
by
yamini.v
1
answer
Given that a,b$\xi$ c are in AP,which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q23
asked
Jan 2, 2014
by
yamini.v
1
answer
Find 3 numbers in AP whose sum is 18 and the sum of its cube is 972.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q22
asked
Jan 1, 2014
by
yamini.v
1
answer
The point on the line $\overrightarrow r=(-2\hat i-\hat j+3\hat k)+\lambda(3\hat i+2\hat j+2\hat k)$ which is at a distance of $3\sqrt 2$ units from the point $(1,2,3)$ is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q39
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
Find n such that is $\large\frac{512}{729}\;$is the nth term of the GP 18,-12,8,-----------------
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q21
asked
Jan 1, 2014
by
yamini.v
1
answer
Find n where 1536 is the nth term of the series 3,6,12---------------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q20
asked
Jan 1, 2014
by
yamini.v
1
answer
What are next two terms of the GP $\sqrt{2},\;1/\sqrt{2},\;1/2\sqrt{2}$
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q19
asked
Jan 1, 2014
by
yamini.v
1
answer
If both the roots of the quadratic equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal. Then $a, b, c$ are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q18
asked
Dec 31, 2013
by
yamini.v
1
answer
If both the roots of the quadratic equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal.Then a,b,c are in
jeemain
math
class11
unit7
sequences-and-series
easy
q18
asked
Dec 31, 2013
by
yamini.v
0
answers
If $a^2,b^2,c^2\;$ are in AP ,$\frac{1}{b+c},\frac{1}{a+c},\frac{1}{b+a}\;$ are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q17
asked
Dec 31, 2013
by
yamini.v
1
answer
The sum of terms of a series is $\frac{2^n-1}{3}$.What is the type of series AP or GP. What is the value of d or r (common difference of AP or common ratio of GP)
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q16
asked
Dec 31, 2013
by
yamini.v
1
answer
Find the sum of series 4 + 44 + 444 + 4444 +------upto n terms.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q15
asked
Dec 31, 2013
by
yamini.v
1
answer
In a GP, the ratio of the sum of first 3 terms to the sum of first 6 terms is 125/152. Find the common of the GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q14
asked
Dec 31, 2013
by
yamini.v
1
answer
The product of 3 numbers in a GP is 64 and the sum of product of numbers taken in pairs is 56. Find the three numbers in GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q13
asked
Dec 31, 2013
by
yamini.v
1
answer
If 4 positive numbers a, b, c and d are in HP, which of the following is true.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q12
asked
Dec 31, 2013
by
yamini.v
1
answer
Given that $\frac{S_{1}}{S_{2}}=\frac{3n+8}{7n+5}$, $\frac{S_{1}}{S_{2}}$ is the ratio of sum of two APs to n terms, find the ratio of the 11<sup>th</sup> terms of the two APs.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q11
asked
Dec 31, 2013
by
yamini.v
1
answer
Find the sum of the series -1 + 4 - 9 + 16 - 25 +-----+ 4008004.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q10
asked
Dec 31, 2013
by
yamini.v
1
answer
Find the sum of the series $1^2$ - $2^2$ + $3^2$ - $4^2$ + $5^2$ - $6^2$.....$1000^2$.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q9
asked
Dec 31, 2013
by
yamini.v
1
answer
In an AP, the sum of n terms is $n^2+1$. Find the 16th term.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q8
asked
Dec 30, 2013
by
yamini.v
1
answer
In an AP, the sum of n terms is a function of n, $S_{n}=3n^2+2n.$ Find the rth term.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q7
asked
Dec 30, 2013
by
yamini.v
1
answer
In a series -9,-6,-3,----, find the number of terms n to get a sum $S_{n}$ = 66.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q6
asked
Dec 30, 2013
by
yamini.v
1
answer
If the 7th term of an AP is 23 and the 12th term is 38, find the first term 'a' and common difference 'd'.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q5
asked
Dec 30, 2013
by
yamini.v
1
answer
Find the sum of the series 1, $\frac {7}{5}$, $\frac {13}{25}$, $\frac {19}{25}$,----,$\infty$.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q4
asked
Dec 30, 2013
by
yamini.v
1
answer
Given that four positive numbers are in HP, which of the following is true.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q3
asked
Dec 30, 2013
by
yamini.v
1
answer
The point on $x - axis $ which is equidistant from points $(4,3,1)\:\: and\:\: (-2,-6,-2)$ is?
jeemain
math
class11
ch14
3d-geometry
easy
q29
asked
Dec 30, 2013
by
rvidyagovindarajan_1
0
answers
Among 5 numbers a, b, c, d and e the relationships are: a, b, c are in AP and b, c, d are in GP and c, d, e are in HP. Find b, c, d if a = 2 and e = 18.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q2
asked
Dec 30, 2013
by
yamini.v
2
answers
In a GP, the first term is $312\large\frac{1}{2}$, the common ratio is $\large\frac{1}{2}$. Find the sum of the series to $\infty$ terms.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q1
asked
Dec 30, 2013
by
yamini.v
1
answer
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