Recent questions tagged q1

How many words,with or without meaning,each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?

asked May 14, 2014 by sreemathi.v

1 answer

If $nC_8=nC_2$ Find $nC_2$

asked May 14, 2014 by sreemathi.v

1 answer

How many 3-digit numbers can be formed by using the digits 1 to 9,if no digit is repeated?

asked May 13, 2014 by sreemathi.v

1 answer

Three vertices of a parallelogram $ABCD$ are $A(3,-1,2),\:B(1,2,-4)\:and\:C(-1,1,2)$ Find the coordinates of the $4^{th}$ vertex $D$.

asked May 11, 2014 by rvidyagovindarajan_1

1 answer

Give an example of a statement $P(n)$ which is true for all $ n \geq 4$ but $P(1), P(2)$ and $P(3)$ are not true. Justify your answer.

asked May 5, 2014 by thanvigandhi_1

0 answers

For all $n \geq 1$, prove that \[\] $ 1^2+2^2+3^2+4^4+...+n^2=\large\frac{n(n+1)(2n+1)}{6}$.

asked May 2, 2014 by thanvigandhi_1

1 answer

Let $f(x) = \left\{ \begin{array}{l l} \frac{1-\cos 4x}{x^2}, & \quad x < 0 \\ a, & \quad x = 0 \\ \frac{\sqrt x)}{(\sqrt {16+\sqrt x})-4} & \quad x < 0 \end{array} \right. $ Find $a$ if $f $ is continuous at $x=0$

asked May 1, 2014 by meena.p

0 answers

Prove the following by using the principle of mathematical induction for all $n \in N$ : \[\] $1+3+3^2+...+3^{n-1}= \large\frac{(3^n-1)}{2}$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

Prove that $\large\frac{\tan A+\sec A-1}{\tan A-\sec A+1}=\frac{1+\sin A}{\cos A}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Evaluate:$2\cos\large\frac{\pi}{13}$$\cos \large\frac{9\pi}{13}+$$\cos \large\frac{3\pi}{13}$$+\cos \large\frac{5\pi}{13}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the principal and general solution of the following equation $\tan x=\sqrt 3$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin^2\large\frac{\pi}{6}$$+\cos^2\large\frac{\pi}{3}$$-\tan^2\large\frac{\pi}{4}=-\frac{1}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\cos x=-\large\frac{1}{2}$,$x$ lies in the third quadrant

asked Apr 16, 2014 by sreemathi.v

1 answer

A point is on $x-axis$. What are its $y-coordinate $ and $z-coordinate?$

asked Apr 15, 2014 by rvidyagovindarajan_1

1 answer

Find the coefficient of $x^5$ in $(x+3)^8$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(1-2x)^5$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Express the complex number given below in the form $a+ib$: $(5i)\;(-\large\frac{3}{5}$$i)$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola $\;\large\frac{x^2}{16}$$-\large\frac{y^2}{9}$$=1$

asked Apr 8, 2014 by balaji.thirumalai

1 answer

Find the derivative of $x^2-2$ at $ x = 10$

asked Apr 7, 2014 by thanvigandhi_1

1 answer

The pressure that has to be applied to the ends of a steel wire of length $10\; cm$ to keep its length constant when its temperature is raised by $100^{\circ}$ is (For steel, Young's modulus is $2 \times 10^{11} Nm^{-2}$ and coefficient of thermal expansion is $1.1 \times 10^{-5}K^{-4})$

asked Apr 7, 2014 by meena.p

1 answer

Evaluate the following limits $ \lim\limits_{x \to 3} x+3$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{36}$$+\large\frac{y^2}{16}$$=1$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=12x$.

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=12x$.

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre $(0,2)$ and radius $2$.

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Show that the sum of $(m+n)^{th}$ and $(m-n)^{th}$ terms of an A.P is twice its $m^{th}$ term.

asked Mar 27, 2014 by rvidyagovindarajan_1

1 answer

Which of the following is an example of aldohexose?

asked Mar 27, 2014 by thanvigandhi_1

1 answer

Which one of the following amines does not undergo acylation?

asked Mar 21, 2014 by thanvigandhi_1

1 answer

Evaluate $\int\large\frac{dx}{sin^2x\:cos^2x}$

asked Mar 20, 2014 by rvidyagovindarajan_1

1 answer

Matte contains

asked Mar 15, 2014 by meena.p

1 answer

Assuming ideal behavior, calculate the work done when $1.6$ mole of water evaporates at $373 \: K$ against the atmospheric pressure of $1\: atm.$

asked Mar 13, 2014 by thanvigandhi_1

0 answers

Find the sum of $n$ terms of the series $1\times 2+2\times 3+3\times 4+4\times 5+.............$

asked Mar 7, 2014 by rvidyagovindarajan_1

1 answer

Polymers are

asked Mar 5, 2014 by thanvigandhi_1

1 answer

Which reagent can provide distinction between aliphatic $-NH_2$ group and aromatic $-NH_2$ group?

asked Feb 27, 2014 by sreemathi.v

1 answer

Which of the following is the disadvantage of FM over AM?

asked Feb 25, 2014 by thanvigandhi_1

1 answer

Find the $20^{th}$ term of the $G.P.\:\:\large\frac{5}{2},\frac{5}{4},\frac{5}{8},..........$

asked Feb 25, 2014 by rvidyagovindarajan_1

1 answer

The bond order of individual carbon-carbon bonds is benzene is :

asked Feb 20, 2014 by meena.p

1 answer

Find the sum of odd integers from $1 $ to $2001$

asked Feb 18, 2014 by rvidyagovindarajan_1

1 answer

The reaction $CH_3COCH_3 \large\xrightarrow{[H^+]} CH_3CH_2CH_3$ is known as

asked Feb 18, 2014 by sreemathi.v

1 answer

Find the first 5 terms of the series whose $n^{th} $ term is $a_n=n(n+2)$

asked Feb 15, 2014 by rvidyagovindarajan_1

1 answer

An iron cylinder contains helium at a pressure of 250 Kpa at 300K. The cylinder can withstand a pressure of $1\times10^6 Pa$ . The room in which cylinder is placed catches fire. Predict whether the cylinder will blow up before it melts or not . melting point of cylinder = 1800K

asked Feb 11, 2014 by sharmaaparna1

1 answer

Find the inclination of the line whose slope is 1?

asked Feb 3, 2014 by sreemathi.v

1 answer

Solution of differential equation: $X^2= 1+\large\frac{1}{2} \bigg( \large\frac{x}{y}\bigg)^{-1} \frac{dy}{dx} + \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-2} \bigg(\Large\frac{dy}{dx}\bigg)^{2}}{4 \times 2 \times 1}+ \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-3} \bigg(\Large\frac{dy}{dx}\bigg)^{3}}{8 \times 3 \times 2 \times 1}+ \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-4} \bigg(\Large\frac{dy}{dx}\bigg)^{4}}{16 \times 4 \times 3 \times 2 \times 1}+..........$

asked Jan 31, 2014 by meena.p

1 answer

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