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The smallest value of the polynomial $x^3-18x^2+96x$ in [0,9] is

asked Jan 11, 2013 by sreemathi.v

1 answer

If x is real,the minimum value of $x^2-8x+17$ is

asked Jan 11, 2013 by sreemathi.v

1 answer

The function f(x)+tan x-x

asked Jan 11, 2013 by sreemathi.v

1 answer

Which of the following functions is decreasing on $\bigg(0,\frac{1}{2}\bigg)$

asked Jan 11, 2013 by sreemathi.v

1 answer

The function $f(x)=4\sin^3x-6\sin^2x+12sin x+100$ is strictly

asked Jan 11, 2013 by sreemathi.v

1 answer

$y=x(x-3)^2$ decreases for the values of x given by:

asked Jan 11, 2013 by sreemathi.v

1 answer

Let the $f:R\rightarrow R$ be defined by $f(x)=2x+\cos x,$then

asked Jan 11, 2013 by sreemathi.v

1 answer

The slope of tangent o the curve $x=t^2+3t-8,y=2t^2-2t-5$ at the point (2,-1) is :\[(A)\;\frac{22}{7}\quad(B)\;\frac{6}{7}(C)\;{-6}{7}\quad(D)\;-6\]

asked Jan 11, 2013 by sreemathi.v

1 answer

The tangent to the curve $y=e^{2x}$ at the point $(0,1)$ meets x-axis at:

asked Jan 11, 2013 by sreemathi.v

1 answer

The points at which the tangents to be curve $y=x^3-12x+18$ are parallel to x-axis are:

asked Jan 11, 2013 by sreemathi.v

1 answer

The equation of tangent to the curve $y(1+x^2)=2-x,$where it crosses x-axis is \[\begin{array}{1 1}(A)\;x+5y=2 & (B)\;x-5y=2\\(C)\;5x-y=2 & (D)\;5x+y=2\end{array}\]

asked Jan 11, 2013 by sreemathi.v

1 answer

If $y=x^4-10$ and if x changes from $2$ to $1.99$,what is the change in y

asked Jan 11, 2013 by sreemathi.v

1 answer

If the curve $ay+x^2=7$ and $x^3=y,$ cut orthogonally at $(1,1)$ then the value of a is

asked Jan 11, 2013 by sreemathi.v

1 answer

The equation of normal to the curve $3x^2-y^2=8$ which is parallel to the line x+3y=8 is\begin{array}{1 1}(A)\;3x-y=8 & (B)\;3x+y+8=0\\(C)\;x+3y-8=0 & (D)\;x+3y=0\end{array}

asked Jan 11, 2013 by sreemathi.v

1 answer

The curve $y=x^\frac{1}{5}$ has at

asked Jan 11, 2013 by sreemathi.v

1 answer

A ladder, 5 meter long,standing on a horizontal floor,leans against a vertical wall.If the top of the ladder slides downwards at the rate of 10cm/sec,then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 meters from the wall measure in "radian/seconds" is?

asked Jan 11, 2013 by sreemathi.v

1 answer

The sides of an equilateral triangle are increasing at the rate of 2cm/sec.The rate at which the area increases ,when side is 10cm is

asked Jan 11, 2013 by sreemathi.v

1 answer

A box has 100 pens of which 10 are defective.What is the probability that out of sample of 5 pens drawn one by one with replacement at most one is defective?

asked Jan 10, 2013 by sreemathi.v

1 answer

A and B are two students.Their chances of solving a problem correctly are $\Large\frac{1}{3}$ and $\Large\frac{1}{4}$,respectively.If the probability of their making a common error is ,$\Large\frac{1}{20}$ and they obtain the same answer,then the probability of their answer to be correct is

asked Jan 10, 2013 by sreemathi.v

1 answer

In a college,30% students fail in physics,25% fail in mathematics and 10% fail in both.One student is chosen at random.The probability that she fails in physics if she has failed in mathematics is

asked Jan 10, 2013 by sreemathi.v

1 answer

Suppose a random variable X follows the binomial distribution with parameters n and p,where 0 < p < 1.If P(x=r)/P(x=n-r) is independent of n and r ,then P equals

asked Jan 10, 2013 by sreemathi.v

1 answer

For the following probability distribution:

asked Jan 10, 2013 by sreemathi.v

1 answer

For the following probability distribution:

asked Jan 10, 2013 by sreemathi.v

1 answer

The probability distribution of a discrete random variable X is given below:

asked Jan 10, 2013 by sreemathi.v

1 answer

The probability that a person is not swimmer is 0.3.The probability that out of 5 persons 4 are swimmers is

asked Jan 10, 2013 by sreemathi.v

1 answer

The probability of guessing correctly at least 8 out of 10 answers on a true-false type examination is

asked Jan 10, 2013 by sreemathi.v

1 answer

Two cards are drawn from a well shuffled deck of 52 playing cards with replacement.The probability,that both cards are queens ,is

asked Jan 10, 2013 by sreemathi.v

1 answer

Which one is not a requirement of a binomial distribution?

asked Jan 10, 2013 by sreemathi.v

1 answer

Two dice are thrown.If it is known that the sum of numbers on the dice was less than 6,the probability of getting a sum 3,is

asked Jan 10, 2013 by sreemathi.v

1 answer

Eight coins are tossed together.The probability of getting exactly 3 heads is

asked Jan 10, 2013 by sreemathi.v

1 answer

A flash light has 8 batteries out of which 3 are dead.If two batteries are selected without replacement and tested,the probability that both are dead is

asked Jan 10, 2013 by sreemathi.v

1 answer

A box contains 3 orange balls,3 green balls and blue balls.three balls are drawn at random from the box without replacement .The probability of drawing 2 green balls and one blue ball is

asked Jan 10, 2013 by sreemathi.v

1 answer

A die is thrown and a card is selected at random from a deck of 52 laying cards.The probability of getting an even number on the die and a spade card is

asked Jan 10, 2013 by sreemathi.v

1 answer

Assume that in a family,each child is equally likely to be a boy or a girl.A family with three children is chosen at random.The probability that the eldest child is a girl given that the family has at least one girl is

asked Jan 10, 2013 by sreemathi.v

1 answer

Three persons,A,B and C,fire at a target in turn,starting with A.Thier probability of hitting the target are 0.4,0.3 and 0.2 respectively.The probability of two hits is

asked Jan 10, 2013 by sreemathi.v

1 answer

A bag contains 5 red and 3 blue balls.The probability that exactly two of the three balls were red,the first ball being red,is

asked Jan 10, 2013 by sreemathi.v

1 answer

A bag contains 5 red and 3 blue balls.If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is

asked Jan 10, 2013 by sreemathi.v

1 answer

Two events E and F are independent.If $P(E)=0.3,P(E\cup F)=0.5$,then P(E|F) - P(F|E) equals

asked Jan 10, 2013 by sreemathi.v

0 answers

If the events A and B are independent ,then $P(A\cap B)$ is equal to

asked Jan 10, 2013 by sreemathi.v

1 answer

Let A and B be two events .Such that $P(A)=\Large\frac{3}{8}$,$P(B)=\Large \frac{5}{8}$ and $P(A\cup B)=\Large\frac{3}{4}$.Then P(A|B).P(A|B) is equal to

asked Jan 10, 2013 by sreemathi.v

1 answer

If two events are independent,then

asked Jan 10, 2013 by sreemathi.v

1 answer

If A and B are two independent events with $P(A)=\Large \frac{3}{5}$ and $P(B)=\Large \frac{4}{9},$then $P(A\cap B)$ equals

asked Jan 10, 2013 by sreemathi.v

1 answer

If A and B are such events that $P(A)>o$ and $P(B)\neq 1$,then P(A|B) equals

asked Jan 10, 2013 by sreemathi.v

1 answer

Let $P(A)=\Large\frac{7}{13}$,$P(B)=\Large\frac{9}{13}$ and $P(A\cap B)=\Large\frac{4}{13}$. Then P(A|B) is equal to

asked Jan 10, 2013 by sreemathi.v

1 answer

If A and B are two events such that $P(A)=\Large\frac{1}{2},\normalsize P(B)=\Large\frac{1}{3},\normalsize P(A/B)=\Large \frac{1}{4},$then $P(A'\cap B')$ equals

asked Jan 10, 2013 by sreemathi.v

1 answer

If $P(A)=\Large\frac{2}{5},\normalsize P(B)=\Large\frac{3}{10}$ and $P(A\cap B)=\Large\frac{1}{5},$then P(A|B).P(B'|A') is equal to

asked Jan 10, 2013 by sreemathi.v

1 answer

If $P(A)=\Large\frac{3}{10},\normalsize P(B)=\Large\frac{2}{5}$ and $P(A\cap B)=\Large\frac{3}{5},$then $P(B|A)+P(A|B)$ equals

asked Jan 10, 2013 by sreemathi.v

1 answer

If $P(A\cap B)=\Large\frac{7}{10}$,and $P( B)=\Large\frac{17}{20}$,then P(A|B) is equals

asked Jan 10, 2013 by sreemathi.v

1 answer

If $P(A)=\Large\frac{4}{5}$,and $P(A\cap B)=\Large\frac{7}{10}$,then P(B|A) is equal to

asked Jan 10, 2013 by sreemathi.v

1 answer

Corner points of the feasible region determined by the system of linear constraints are $(0,3),(1,1)$ and $(3,0).$

asked Jan 8, 2013 by sreemathi.v

1 answer

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