Recent questions in Mathematics

If $L\rightarrow\:\:\large\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}$ and the plane $P\rightarrow\:\:x-2y-z=0$ , then which of the following is true?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

If A,B,C are three events with $P(C)=0$ then $P(A \cup B \cup C )=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If two events A and B $P( A \cup B ) = 0.5\: and \: P(A \cap B ) = 0.4$ then $P(A')+P(B')=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A man is known to speak the truth in 75% cases. He throws a die and reports that it is a five. The probability that it is actually a five is

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

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{5}{7}$ $\sin (3x+7) \cos (3x+7) dx$

asked Jan 2, 2014 by meena.p

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 $P(B) =$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac {\sin ^6 x +\cos ^6 x }{\sin ^2 x \cos ^2 x }$ $dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \sqrt {1- \sin x }dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{1}{1- \sin x }$ $dx$

asked Jan 2, 2014 by meena.p

1 answer

Let A and B be two events such that $P ( A') = 0.3 \: P(B)=0.4 \: and \: P(A \cap B') = 0.5$ then $P(B/A\: UB')=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \cos (\sin x)dx$

asked Jan 2, 2014 by meena.p

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

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 :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{7}{5}$ $\log _e(\large e^{x^3}) dx$

asked Jan 2, 2014 by meena.p

1 answer

Two fair dice are tossed once. The probability of getting an even number on the first die or a total of 8 is

asked Jan 2, 2014 by thanvigandhi_1

2 answers

Integrate : $\int \large\frac{x^5 +x^3+1}{x^2}$ $dx$

asked Jan 2, 2014 by meena.p

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 :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Three coins are tossed. The probability that not more than two coins will fall with head upwards is

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-----------

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 $\large\frac{765}{64}$ .

asked Jan 2, 2014 by yamini.v

1 answer

How many terms of the series $\sqrt2$ , 2, $2\sqrt2$ ,------- will make a sum of $62+31\sqrt2$ ?

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

asked Jan 2, 2014 by yamini.v

1 answer

What is the harmonic mean of the two roots of the following equation $(5+\sqrt2)x^2-(4+\sqrt5)x+8+2\sqrt5=0$

asked Jan 2, 2014 by yamini.v

1 answer

Integrate : $\int \large\frac{\cos \sqrt x }{\sqrt x }$ $dx$

asked Jan 2, 2014 by meena.p

1 answer

The coordinates of the point on the line through $(3,-4,-5)$ and $(2,-3,1)$ at which the line crosses the plane $2x+y+z=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

Integrate : $\int e^{2x} \cos 5x dx$

asked Jan 2, 2014 by meena.p

1 answer

In a throw of two coins, the probability of getting both heads or both tails is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

The distance of the point $(-1,-5,-10)$ from the point of intersection of the line $\overrightarrow r=(2\hat i-\hat j+2\hat k)+\lambda(3\hat i+4\hat j+12\hat k)$ and the plane $\overrightarrow r.(\hat i-\hat j+\hat k)=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

A bag contains tickets numbered 1 to 20. Two tickets are drawn from the bag. The probability that both the numbers appearing on the tickets drawn will be prime is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

$\lim\limits_{x\to 1}(\log_22x)^{\large\log_x5}$ is

asked Jan 2, 2014 by sreemathi.v

1 answer

$\int \large\frac{2x^2+3}{(x^2-1)(x^2+4)}$ $dx=a \log \bigg(\large\frac {x+1}{x-1} \bigg)+6 \tan ^{-1} \bigg( \large\frac{x}{2}\bigg)+c$ find the value of a and b?

asked Jan 2, 2014 by meena.p

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.

asked Jan 2, 2014 by yamini.v

1 answer

Integrate : $\int \sqrt x .e^{\sqrt x} dx$

asked Jan 2, 2014 by meena.p

1 answer

$\lim\limits_{x\to 0}\large\frac{(\cos x)^{1/2}-(\cos x)^{1/3}}{\sin^2x}$ is

asked Jan 2, 2014 by sreemathi.v

1 answer

The third term of a GP is 2. Calculate the product of the first 5 terms.

asked Jan 2, 2014 by yamini.v

1 answer

An urn contains 10 blue and 6 red balls. 3 balls are drawn from the urn. The probability that at least two of the balls drawn will be red is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If from the point $P(a,b,c)$ perpendiculars $PA$ and $PB$ are drawn to $yz$ and $zx$ planes respectively then the vector equation of the plane $OAB$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

A coin is tossed thrice. The probability of getting head at least once is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If $a,b,c,d$ are positive then $\lim\limits_{x\to \infty}\big(1+\large\frac{1}{a+bx}\big)^{c+dx}=$

asked Jan 2, 2014 by sreemathi.v

1 answer

Integrate: $\int \large\frac{x^3 \sin ^{-1}(x^2)}{\sqrt {1-x^4}}$ $dx$

asked Jan 2, 2014 by meena.p

1 answer

A bag contains 5 black and 3 white balls. Two balls are drawn from the bag at random and without replacement. The probability of obtaining both white balls is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A family has 4 children. A child is selected at random from the family. Assuming that there are equal number of boys and girls in the family, the probability that the selected child is a girl is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If $f(x)=[x^2]-[x]^2$ where [.] is the largest integer function then

asked Jan 2, 2014 by sreemathi.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.

asked Jan 2, 2014 by yamini.v

1 answer

A fair die is tossed once. The probability that either an even number or 3 will appear

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Two fair coins are tossed. What is the probability that at least one head occurs.

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If $f(x)$ is the integral function of the function $\large\frac{2\sin x-\sin 2x}{x^3}\qquad$ $x\neq 0$ then $\lim\limits_{x\to 0} f'(x)$ is

asked Jan 2, 2014 by sreemathi.v

1 answer

The sum of integers from 1 to 200 that are divisible by 2 or 5 is

asked Jan 2, 2014 by yamini.v

1 answer

If $f(x)=3x^{10}-7x^8+5x^6-21x^3+3x^2-7$ then value of $\lim\limits_{\alpha \to 0}\large\frac{f(1-\alpha)-f(1)}{\alpha^3+3\alpha}$ is

asked Jan 2, 2014 by sreemathi.v

1 answer

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