Recent questions tagged q13

The value of $\sqrt{2+\sqrt{2+\sqrt{2+2\cos 8\theta}}}$ where $\theta < \theta<\large\frac{\pi}{8}$ is equal to

asked Oct 14, 2013 by sreemathi.v

1 answer

If $\alpha, \beta,\gamma$ are the roots of $x^3+4x+1=0,$ then the equation whose roots are $\large\frac{\alpha^2}{\beta +\gamma},\frac{\beta^2}{\gamma+\alpha},\frac{\gamma^2}{\alpha+\beta}$ is :

asked Oct 9, 2013 by meena.p

1 answer

If in a $\Delta ABC$ $\angle C=90^{\circ}$ then the maximum value of $\sin A\sin B$ is

asked Oct 7, 2013 by sreemathi.v

1 answer

The bulk modulus of elasticity of helium at 1 atmospheric pressure, assuming variation of pressure and volume is adiabatic, is

asked Oct 3, 2013 by meena.p

1 answer

The type of inflorescence in a plant showing polygamous condition and lateral styles is

asked Oct 2, 2013 by thanvigandhi_1

1 answer

The condition that the roots of $x^3-bx^2+cx-d=0$ are in geometric progression is :

asked Sep 26, 2013 by meena.p

1 answer

$\int \large\frac{1+\cos 4x}{\cot x -\tan x}$$dx$=

asked Sep 20, 2013 by meena.p

1 answer

If the roots of $x^3-42 x^2+336 x -512=0,$ are in increasing geometric progression, then its common ratio is

asked Sep 14, 2013 by meena.p

1 answer

The orthocentre of triangle whose sides are $2y-x=9,x+y=9,2x-y=9$ is .............

asked Sep 13, 2013 by meena.p

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The students while solving a quadratic equation in $x$, one copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of $x^2 $ as $-6$ and $1$ respectively. The correct roots are:

asked Sep 13, 2013 by meena.p

1 answer

Which of the following statements about the halogen is correct?

asked Sep 11, 2013 by meena.p

1 answer

In deriving Newton's formula for velocity of sound, the changes in volume of air are assumed to be ................. .

asked Sep 11, 2013 by meena.p

0 answers

The average force that is necessary to stop a hammer with $25 $ N/s momentum in 0.05 $s$ is:

asked Sep 10, 2013 by meena.p

1 answer

Refer to the below equation :

asked Aug 26, 2013 by sreemathi.v

1 answer

Which of the following is most reactive towards SN2 reaction?

asked Aug 23, 2013 by sreemathi.v

1 answer

A simple pendulum has a time period $T_1$ When on earth's surface, and $T_2$ When taken to a height R above the earth's surface, where R is radius of earth. Then $\large\frac{T_2}{T_1}$ is

asked Aug 10, 2013 by meena.p

1 answer

An object of mass 1 kg travelling at 5.0 m/s enters a region of ice where the coefficient of kinetic friction is .10. Find the distance the object travels before coming to rest.

asked Jul 17, 2013 by meena.p

1 answer

Find points on the curve$ \large\frac{x^2}{9} + \frac{y^2}{16} = 1$ at which the tangents are $(ii)\; parallel\; to\; y - axis$

asked Jul 11, 2013 by sreemathi.v

1 answer

A rocket burns fuel at the rate of $200 kg/s$. The exhaust gases are ejected down with a velocity of $400 m/s$. The upthrust developed by the rocket engine is

asked Jul 5, 2013 by meena.p

1 answer

Find the value of $\large\frac{1.53 \times 0.9995}{1.592}$ with regards for 3 significant figures.

asked Jun 17, 2013 by meena.p

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angles between them.$(e)\; 4x + 8y + z -8 = 0 $ and $ y + z -4 =0$

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither ,then find the angles between them. $(d)\; 2x -y + 3z -1 = 0 \: and\: 2x -y + 3z + 3 = 0 $

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angles between them. $(c)\; 2x -2y + 4z + 5 = 0$ and $3x -3y + 6z - 1 = 0 $

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angle between them. $(b)\; 2x + y + 3z - 2 = 0 \: and\: x -2y + 5 = 0 $

asked May 22, 2013 by rvidyagovindarajan_1

1 answer

If the normal to the curve $x^{2/3}+y^{2/3}=a^{2/3}$ makes an angle $\theta$ with the $x$-axis then the slope of the normal is

asked May 15, 2013 by poojasapani_1

1 answer

If $A$ and $B$ are any two matrices such that $AB=O$ and $A$ is non-singular, then

asked May 7, 2013 by poojasapani_1

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $\;y=x^{3},x=0,y=1$ is revolved about the $y$-axis.

asked Apr 30, 2013 by poojasapani_1

1 answer

A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.

asked Apr 22, 2013 by sreemathi.v

1 answer

The probability that a contractor will get a plumbing contract is $\large\frac{2}{3}$ and an electric contract is $\large\frac{4}{9}$.If the probability of getting at least one contract is $\large\frac{4}{5}$,find the probability that he will get both the contracts.

asked Apr 22, 2013 by sreemathi.v

0 answers

A bag has 4 red and 5 black balls,a second bag has 3 red and 7 black balls.One ball is drawn from the first bag and two from the second.Find the probability that two balls are black and one is red.

asked Apr 19, 2013 by sreemathi.v

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A dice is tossed three times.Getting a '3' or a '5' is considered a success.Find the probability of at least two successes.

asked Apr 19, 2013 by sreemathi.v

1 answer

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 price of a tape recorder is Rs. 1,561.A person purchases it by paying Rs. 300 in cash and the balance is to be paid with due interest in 3 half yearly equal installments.If the dealer charges interest at the rate of 10% per annum compounded half yearly,find the value of each installment.

asked Apr 17, 2013 by sreemathi.v

0 answers

Find the Banker's discount and the discounted value of a bill worth Rs.600 drawn on May 15,2005 for 3 months and discounted on July 20,2005 at 5% per annum.

asked Apr 17, 2013 by sreemathi.v

0 answers

Solve the following differential equation; $(D^{2}+2D+3)$$y=\sin$$2x$

asked Apr 16, 2013 by poojasapani_1

1 answer

A person borrowed a sum of money and paid it back in 3 equal annual installments of Rs.2,160 each.If the rate of interest charged is 20% p.a. compounded annually,calculate :(i)The sum borrowed (ii) The total interest charged.

asked Apr 16, 2013 by sreemathi.v

0 answers

A bill was drawn on 14th June 2006 at 8 months after date and was discounted on 24th September 2006 at 5% p.a.If the banker's gain on the basis of simple interest is Rs. 3,calculate the sum for which the bill was drawn.

asked Apr 16, 2013 by sreemathi.v

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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

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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

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An iPod is purchased on installment basis,such that Rs. 8,000 is to be paid on the signing of the contract and four yearly installments of Rs. 3000 each,payable at the end of the first,second,third and fourth years.If compound interest is charged at 5% per annum,what would be the cash price of the iPod?(Take $(1.05)^{-4}=0.8227).$

asked Apr 15, 2013 by sreemathi.v

0 answers

A bill of Rs. 84,150 is drawn on 22nd April,2002 at 11 months and is discounted on 11th january 2003.Find the banker's gain if the rate of interest is 10%.

asked Apr 15, 2013 by sreemathi.v

0 answers

At the beginning of each quarter,a sum of Rs. 1,500 is deposited into a savings account that pays 12% per annum compounded quarterly.Find the amount in the account at the end of four years.

asked Apr 12, 2013 by sreemathi.v

0 answers

A company produces two types of items,P and Q.Manufacturing of both items requires the metals gold and copper.Each unit of item P requires 3 gms of gold and 1 gm of copper while that of item Q requires 1 gm of gold and 2 gms of copper.The company has 9 gms of gold and 8 gms of copper in its store.If each unit of item P makes a profit of Rs. 50 and each unit of item Q makes profit of Rs. 60,determine the number of units of each item that the company should produce to maximize profit.What is the maximum profit?

asked Apr 12, 2013 by sreemathi.v

0 answers

A manufacturer manufactures two types of tea-cups,A and B.Three machines are needed for manufacturing the tea cups.The time in minutes required for manufacturing each cup on the machines is given below :

asked Apr 11, 2013 by sreemathi.v

1 answer

The price of a tape recorder is Rs. 1,661.A person purchases it by making a cash payment of Rs. 400 and agrees to pay the balance with due interest in 3 half-yearly equal installments.If the dealer charged interest at the rate of 10% per annum compounded half-yearly.Find the value of the installment.

asked Apr 11, 2013 by sreemathi.v

0 answers

A machine costs Rs 97,000 and its effective life is estimated to be 12 years.If scrap realises Rs. 2,000 only,what amount should be retained out of profits at the end of each year to accumulate at compound interest of 5% per annum in order to buy a new machine after 12 years?(use $1.05^{12}=1.769$)

asked Apr 10, 2013 by sreemathi.v

0 answers

Two tailors P and Q earn Rs. 150 and Rs. 200 per days respectively.P can stitch 6 shirts and 4 trousers a day,while Q can stitch 10 shirts and 4 trousers per day.How many days should each work to produce at least 60 shirts and 32 trousers at minimum labour cost?

asked Apr 10, 2013 by sreemathi.v

0 answers

Find the vector cartesian equation of the plane passing through the points with position vectors $\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{2k}, \overrightarrow{2i}-\overrightarrow{2j}-\overrightarrow{2k},$ and $\overrightarrow{7i}+\overrightarrow{k}.$

asked Apr 8, 2013 by poojasapani_1

1 answer

Evaluate $\left|\begin{array}{ccc} 1 & \omega^n & \omega^{2n} \\ \omega^{2n} & 1 & \omega^{n} \\ \omega^n & \omega^{2n} & 1 \end{array}\right|$

asked Apr 4, 2013 by meena.p

1 answer

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