Recent questions tagged class12

Two events A and B are said to be mutually exclusive if A $\cap$ B = ?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

If P (F | E) = P (F), provided P (E) ≠ 0, then which of the following is true about E and F? a) E and F are mutually independant, b) E and F are mutually exclusive, c) E and F are neither mutually exclusive nor independant, d) E and F are both mutually exclusive and independant?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

A, B and C are mutually independent $\rightarrow$ P (A $\cap$ B $\cap$ C) = P (A) P (B) P (C). True or False?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

Evaluate P ((E $\cup$ F)|G)?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

If A and B are mutually exclusive, then P(A$\cup$B) = P(A) + P(B). True or False?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

Evaluate P (A $\cup$ B $\cup$ C)?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

For any two events A and B, P(A $\cap$ B) + P (A $\cup$ B) = P(A) - P(B). True or Fale?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

True or False. If 0$\leq$ P (E|F) $\leq$ 1, P (E′|F) = 1 – P (E|F).

asked Apr 18, 2013 by balaji.thirumalai

1 answer

The conditional probability of an event E, given the occurrence of the event F is given by P(E | F) = what?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

If $C_0,C_1,C_2..........C_n$ denote the coefficient of successive terms in the expansion of the binomial $(1+x)^n$ prove that $C_0+C_2+C_4+.........=C_1+C_3+C_5+.....=2^{n-1}$

asked Apr 18, 2013 by sreemathi.v

0 answers

If $x\neq y\neq z$ and $\begin{vmatrix}x& x^2 & 1+x^3\\y & y & 1+y^3\\z & z^2 & 1+z^3\end{vmatrix}=0$.Then show that $xyz=-1$.

asked Apr 18, 2013 by sreemathi.v

0 answers

If $i=\sqrt{-1}$,prove the following : $(x+1+i)(x+1-i)(x-1+i)(x-1-i)=x^4+4$

asked Apr 18, 2013 by sreemathi.v

0 answers

Prove that $2(\tan^{-1}1+\tan^{-1}\large\frac{1}{2}\normalsize+\tan^{-1}\large\frac{1}{3}\normalsize)=\pi$

asked Apr 18, 2013 by sreemathi.v

0 answers

Integrate : $\int\large\frac{1+\tan^2x}{\sqrt{1+\tan^2x}}\normalsize dx$.

asked Apr 18, 2013 by sreemathi.v

0 answers

If the matrix $A=\begin{pmatrix}2 & 3\\5 & -2\end{pmatrix}$,show that $A^{-1}=\large\frac{1}{19}\normalsize A.$

asked Apr 18, 2013 by sreemathi.v

0 answers

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two vectors such that $\mid \overrightarrow{a}+\overrightarrow{b}\mid=\mid\overrightarrow{a}\mid $ then show that vector $(2\overrightarrow{a}+\overrightarrow{b})$ is perpendicular to $\overrightarrow{b}$.

asked Apr 18, 2013 by sreemathi.v

0 answers

What is the probability that a leap year has 53 Sundays?

asked Apr 18, 2013 by sreemathi.v

0 answers

Find the angle between the line $\large\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}$ and the plane $x+y+2z=0.$

asked Apr 18, 2013 by sreemathi.v

0 answers

If $x^yy^x$=5 show that $\large\frac{dy}{dx}=-\begin{pmatrix}\large\frac{\log y+\Large\frac{y}{x}}{\log x+\Large\frac{x}{y}}\end{pmatrix}$

asked Apr 18, 2013 by sreemathi.v

0 answers

The directrix of a conic section is $3x+4y=1$ and focus is (2,3).Find the equation of the conic section if its eccentricity is $\large\frac{1}{\sqrt 2}$

asked Apr 18, 2013 by sreemathi.v

0 answers

Find the value of 'p' for which the following equation represents a pair of straight lines : $x^2+pxy-2y^2+3gx+3fy=0.$

asked Apr 18, 2013 by sreemathi.v

0 answers

A coin is tossed 5 times.What is the probability of getting at least three heads?

asked Apr 18, 2013 by sreemathi.v

0 answers

A manufacturing firm produces steel pipes in three plants A,B and C with daily production of 500,1000 and 2000 units respectively.The fractions of defective steel pipes output produced by the plants A,B and C are respectively .005, .008 and .010.If a pipe is selected from a day's total production and found to be defective,find out the probability that it came from the first plant.

asked Apr 18, 2013 by sreemathi.v

1 answer

A company is selling a certain product.The demand function of the product is linear.The company can sell 2000 units when the price is Rs.8 per unit and when the price is Rs.4 per unit,it can sell 3000 units,Determine :

asked Apr 18, 2013 by sreemathi.v

1 answer

How much should a company set aside at the end of each year if it has to buy a machine expected to cost Rs.100,000 at the end of 4 years and the rate of interest is 5% per annum compounded annually?

asked Apr 18, 2013 by sreemathi.v

0 answers

Find the amount of an ordinary annuity if payment of Rs.600.00 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly?

asked Apr 18, 2013 by sreemathi.v

0 answers

A bill of exchange for Rs.750.00 was drawn on 3rd April,2000 payable at 3 months after date.It was discounted on 24th April,2000 at 5% per annum.What was the discounted value of the bill?

asked Apr 18, 2013 by sreemathi.v

0 answers

The average number,in lakhs,of working days lost in strikes during each year of the period 1981-90 was :

asked Apr 18, 2013 by sreemathi.v

0 answers