Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions tagged 2008

Let $\alpha$ and $\beta$ be the roots of the quadratic equation $ax^2+bx+c=0$. Observe the lists given below:

asked Oct 16, 2013 by meena.p

1 answer

$\large\frac{1}{1.3}+\frac{1}{2.5}+\frac{1}{3.7}+\frac{1}{4.9}+....=$

asked Oct 16, 2013 by meena.p

1 answer

$\sum\limits _{k=1} ^{\infty}$ $\large\frac{1}{k !} \bigg(\sum \limits _{n=1}^k 2^{n-1} \bigg)=$

asked Oct 16, 2013 by meena.p

1 answer

If $\large\frac{x^2+x+1}{x^2+2x+1}$$=A+\large\frac{B}{x+1}+\frac{C}{(x+1)^2}$ then $A-B=$

asked Oct 16, 2013 by meena.p

1 answer

If $\alpha=\large\frac{5}{2 ! 3}+\frac{5.7}{3 ! 3^2}+ \frac{5.7.9}{4 ! 3^3}+........,$ then $ \alpha^2+4 \alpha=$

asked Oct 16, 2013 by meena.p

1 answer

If $(1+x+x^2+x^3)^5= \sum \limits_{k=0} ^{15} a_k x^k$ then $ \sum \limits_{k=0}^7 a_{2k}=$

asked Oct 16, 2013 by meena.p

1 answer

If $^n P_r=30240$ and $^n C_r=252$ then the ordered pair (n,r)=

asked Oct 16, 2013 by meena.p

1 answer

9 balls are to be placed in 9 boxes; and 5 of the balls cannot fill into 3 small boxes. The number of ways of arranging one ball in each of the boxes is

asked Oct 16, 2013 by meena.p

0 answers

For any integer $ n \leq 1$, the sum $\sum \limits _{k=1}^n$. $ k(k+2)$ is equal to

asked Oct 16, 2013 by meena.p

1 answer

If $x= \large\frac{1}{2} \bigg(\sqrt 7+\large\frac{1}{\sqrt 7}\bigg)$ then $\large\frac{\sqrt {x^2-1}}{x- \sqrt {x^2-1}}=$

asked Oct 16, 2013 by meena.p

0 answers

Given that $a,b \in \{0,1,2,.........,9\}$ with $ a+b \neq 0$ and that $\bigg(a, \large\frac{b}{10}$$ \bigg)^x=\bigg(\large\frac{a}{10},\frac{b}{100}\bigg)^y$$-1000$ Then $\large\frac{1}{x}-\frac{1}{y}=$

asked Oct 16, 2013 by meena.p

1 answer

If $f:[-6,6] \to \Re$ is defined by $f(x)=x^2-3$ for $x \in \Re$, then $(f0f0f)(-l)+(f0f0f)(0)+(f0f0f)(l)=$

asked Oct 16, 2013 by meena.p

1 answer

If $f: \Re \to \Re$ and $g: \Re \to \Re$ are defined by $f(x) - | x |$ and $g(x)=[x - 3]$ for $ x \in \Re$, then $\bigg \{ g(f(x)):-\large\frac{8}{5} $$ < x < \large\frac{8}{5} \bigg \} -$

asked Oct 16, 2013 by meena.p

1 answer

If $f: R \to C $ is defined by $f(x)=e^{2ix}$ for $x \in R$ then, f is (Where C denotes the set of all complex numbers)

asked Oct 16, 2013 by meena.p

1 answer

A class consists of 50 students out of which there are 10 girls.In the class 2 girls and 5 boys are rank holders in an examination.If a student is selected at random from the class and is found to be a rank holder,what is the probability that the student selected is a girl?

asked Apr 15, 2013 by sreemathi.v

1 answer

Eight coins are thrown simultaneously.

asked Apr 15, 2013 by sreemathi.v

0 answers

The average cost function associated with producing and marketing $x$ units of an item is given by $AC=2x-11+\large\frac{50}{x}$.Find : (i) The total cost function and marginal cost function. (ii) The range of values of the output $x$ for which AC is increasing.

asked Apr 15, 2013 by sreemathi.v

0 answers

A manufacturer produces two types of steel trunks.He has two machines,A and B.The first type of trunk requires 3 hours on machine A and 3 hours on machine B.The second type requires 3 hours on machine A and 2 hours on machine B.Machines A and B can work at most for 18 hours and 15 hours per day respectively.He earns a profit of Rs. 30 per trunk on the first type of trunk and Rs. 25 per trunk on the second type.Formulate a Linear Programming Problem to find out how many trunks of each type he must make each day to maximise his profit.

asked Apr 15, 2013 by sreemathi.v

1 answer

Mr.Aggarwal buys a house at Rs. 30,00,000 for which he agrees to make equal payments at the end of each year for 10 years.If money is worth 10% p.a., find the amount of each installment.[Take $(1.1)^{-10}=0.3855]$

asked Apr 15, 2013 by sreemathi.v

0 answers

The banker's gain on a certain bill due 6 months hence is Rs. 100,the rate of interest being 10% per annum.Find the face value of the bill.

asked Apr 15, 2013 by sreemathi.v

0 answers

Given $\overrightarrow{a}=i-2j+k,\overrightarrow{b}=2i+j+k$ and $\overrightarrow{c}=i+2j-k$.Find $\overrightarrow{a}\times(\overrightarrow{b}\times \overrightarrow{c})$

asked Apr 15, 2013 by sreemathi.v

0 answers

Find $\overrightarrow{a}.\overrightarrow{b}$ if $ \mid\overrightarrow{a}\mid=2, \mid\overrightarrow{b}\mid=5$ and $\mid \overrightarrow{a}\times \overrightarrow{b}\mid$=8.

asked Apr 15, 2013 by sreemathi.v

0 answers

Coded monthly sales figures of a particular brand of T.V. for 18 months commencing January 1,2005 are as follows :

asked Apr 15, 2013 by sreemathi.v

0 answers

A small industrial concern used three raw materials A,B and C in its manufacturing process.The prices of the materials was as shown below :

asked Apr 15, 2013 by sreemathi.v

0 answers

If $A(-1,4,-3)$ is one end of a diameter $AB$ of the sphere $x^2+y^2+z^2-2y+2z-15=0$ then find the coordinates of the other end point B.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the coordinates of the point where the line joining the points (1,-2,3) and (2,-1,5) cuts the plane $x-2y+3z=19$.Hence,find the distance of this point from the point (5,4,1).

asked Apr 15, 2013 by sreemathi.v

0 answers

Solve : $(x^2+y^2)dx-2xydy=0$,given that $y=0$,when $x=1$.

asked Apr 15, 2013 by sreemathi.v

0 answers

If the ratio $\large\frac{z-i}{z-1}$ is purely imaginary,prove that the point $z$ lies on the circle whose centre is the point $\large\frac{1}{2}\normalsize(1+i)$ and radius is $\large\frac{1}{\sqrt 2}$.

asked Apr 15, 2013 by sreemathi.v

0 answers

The probability that a teacher will give an unannounced test during any class meeting is $\large\frac{1}{5}$.If a student is absent twice,find the probability that the student will miss at least one test.

asked Apr 15, 2013 by sreemathi.v

0 answers

There are 3 urns A,B and C.Urn A contains 4 red balls and 3 black balls.Urn B contains 5 red balls and 4 black balls.Urn C contains 4 red balls and 4 black balls.One ball is drawn from each of these urns.What is the probability that the 3 balls drawn consist of 2 red balls and 1 black ball?

asked Apr 15, 2013 by sreemathi.v

0 answers

The data for marks in Physics and History obtained by ten students are given below :

asked Apr 15, 2013 by sreemathi.v

0 answers

The data for marks in Physics and History obtained by ten students are given below :

asked Apr 15, 2013 by sreemathi.v

0 answers

Draw a rough sketch of the curve $y^2+1=x,x\leq 2$.Find the area enclosed by the curve and the line $x=2$.

asked Apr 15, 2013 by sreemathi.v

1 answer

Evaluate $\int_0^9f(x)$ dx,where f(x) is defined by $f(x)=\left\{\begin{array}{1 1}\sin x;if 0\leq x\leq \large\frac{\pi}{2}\\1;\large\frac{\pi}{2}\normalsize\leq x\leq 5\\e^{x-5};5\leq x\leq 9\end{array}\right.$

asked Apr 15, 2013 by sreemathi.v

0 answers

An open box with a square base is to be made out of a given quantity of cardboard whose area is $c^2$ square units.Show that the maximum volume of the box is $\large\frac{c^3}{6\sqrt 3}$cubic units.

asked Apr 15, 2013 by sreemathi.v

0 answers

Use Lagrange's mean value theorem to be determine a point P on the curve $y=\sqrt{x-2}$ defined in the interval [2,-3],where the tangent is parallel to the chord joining the end points on the curve.

asked Apr 15, 2013 by sreemathi.v

1 answer

Find $\large\frac{dy}{dx}$ if $y=\tan^{-1}\large \frac{\sqrt{1-x^2}-1}{x}$

asked Apr 15, 2013 by sreemathi.v

0 answers

Solve for x : $\tan^{-1}(x-1)+\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x.$

asked Apr 15, 2013 by sreemathi.v

0 answers

(i) Write down the Boolean expression corresponding to the switching circuit given below : (ii) Simplify the expression and construct the switching circuit for the simplified expression.

asked Apr 15, 2013 by sreemathi.v

0 answers

(i) Show that the second degree equations $x^2-5xy+4y^2+x+2y-2=0$ represents a pair of straight lines.(ii) Find the equations of the individual lines and their point of intersection.

asked Apr 15, 2013 by sreemathi.v

1 answer

If $A=\begin{vmatrix}1 & -2 & -3\\2 & 3 & 2\\3 &-3 & -4\end{vmatrix},$find $A^{-1}$ and hence solve the following system of linear equations : $x+2-3z=-4,2x+3y+2z=2,3x-3y-4z=11.$

asked Apr 15, 2013 by sreemathi.v

0 answers

Prove that :$ \begin{vmatrix}a & b & ax+by\\b & c & bx+cy\\ax+by & bx+cy & 0\end{vmatrix}=(b^2-ac)(ax^2+2bxy+cy^2).$

asked Apr 15, 2013 by sreemathi.v

0 answers

Solve the differential equation : $(x+1)\large\frac{dy}{dx}\normalsize-y=e^{3x}(x+1)^2$.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the value of $x$,$y$,given that $(x+iy)(2-3i)=4+i.$

asked Apr 15, 2013 by sreemathi.v

0 answers

In a standard deviation of the numbers,2,3,11 and x is $3\large\frac{1}{2}$,find the value of $x$.

asked Apr 15, 2013 by sreemathi.v

0 answers

In a single throw of two dice,find the probability of getting a total of at most 9.

asked Apr 15, 2013 by sreemathi.v

1 answer

Find the equation of tangents to the hyperbola $3x^2-y^2=3$ which are perpendicular to the line $x+3y=2$.

asked Apr 15, 2013 by sreemathi.v

0 answers

Evaluate $\int \large\frac{x^2}{(x^2-4)}\normalsize dx.$

asked Apr 15, 2013 by sreemathi.v

0 answers

If $y=\sqrt{\large\frac{1-\cos x}{1+\cos x}}$,find $\large\frac{dy}{dx}$.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the equation of the normal to the ellipse $5x^2+3y^2=137$ at the point where the ordinate is 2.

asked Apr 15, 2013 by sreemathi.v

0 answers

Page:

« prev
1
...
11
12
13
14
15
next »

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...