Recent questions tagged q3

Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively

asked May 18, 2014 by thanvigandhi_1

1 answer

A candidate is required to answer 7 questions out of 12 questions,which are divided into two groups,each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. Find the number of different ways of doing questions.

asked May 15, 2014 by sreemathi.v

1 answer

How many chords can be drawn through 21 points on a circle?

asked May 14, 2014 by sreemathi.v

1 answer

How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7 if no digit is repeated.

asked May 13, 2014 by sreemathi.v

1 answer

Compute $\large\frac{8!}{6!\times 2!}$

asked May 13, 2014 by sreemathi.v

1 answer

How many 4-letter code words are possible using the first 10 letters of the english alphabet,if no letter can be repeated?

asked May 13, 2014 by sreemathi.v

1 answer

Find the ratio in which $YZ$ plane divides the segment formed by joining the points $(-2,4,7)$ and $(3,-5,8)$

asked May 6, 2014 by rvidyagovindarajan_1

1 answer

Prove the following statement by the principle of mathematical induction : \[\] $4^n-1$ is divisible by 3, for each natural numbers $n$.

asked May 5, 2014 by thanvigandhi_1

0 answers

For all $ n \geq 1$, prove that \[\] $ \large\frac{1}{1.2}$$+\large\frac{1}{2.3}$$+\large\frac{1}{3.4}$$+...+\large\frac{1}{n(n+1)}$$=\large\frac{n}{(n+1)}$.

asked May 2, 2014 by thanvigandhi_1

1 answer

Show that $f(x) =|x -2| $ is continuous but not derivable at $x=2$

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+ \large\frac{1}{(1+2)}$$+ \large\frac{1}{(1+2+3)}$$+...+ \large\frac{1}{(1+2+3...n)}$$= \large\frac{2n}{(n+1)}$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

If $m\sin \theta=n\sin(\theta+2\alpha)$,then prove that $\tan(\theta+\alpha)\cot\alpha=\large\frac{m+n}{m-n}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Evaluate: $(\cos x+\cos y)^2+(\sin x-\sin y)^2$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the principal and general solution for the equation $\cot x=-\sqrt 3$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot^2\large\frac{\pi}{6}$$+cosec \large\frac{5\pi}{6}$$+3\tan^2\large\frac{\pi}{6}$$=6$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\cot x=\large\frac{3}{4}$,$x$ lies in the third quadrant

asked Apr 16, 2014 by sreemathi.v

1 answer

A wheel makes 360 revolutions in one minute.Through how many radians does it turn in one second?

asked Apr 16, 2014 by sreemathi.v

1 answer

Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $(px+q) \bigg( \large\frac{r}{x}+s \bigg)$

asked Apr 12, 2014 by thanvigandhi_1

1 answer

Write the general term in the expansion of $ (x^2 - y)^6$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(2x-3)^6$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.

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 $\;9y^2-4x^2=36$

asked Apr 8, 2014 by balaji.thirumalai

1 answer

Find the derivative of $x$ at $ x = 1$.

asked Apr 7, 2014 by thanvigandhi_1

1 answer

A bob of mass $m$ attached to an inextensible string of length $l$ is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed $\omega\; rad/s$ about the vertical. About the point of suspension

asked Apr 7, 2014 by meena.p

1 answer

Evaluate the following limits $ \lim\limits_{x \to 1} \pi r^2$

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}{16}$$+\large\frac{y^2}{9 }$$=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 $y^2=-8x$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre ($\large\frac{1}{2}$, $\large\frac{1}{4}$) and radius $\large\frac{1}{12}$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

If the sum of $n,2n\:and\:3n$ terms of an A.P. are $S_1,S_2\:and\:S_3$ respectively, then show that $S_3=3(S_2-S_1)$

asked Mar 28, 2014 by rvidyagovindarajan_1

1 answer

Maltose on hydrolysis gives

asked Mar 27, 2014 by thanvigandhi_1

1 answer

Which of the following on dehydration with $P_2O_5$ gives ethanenitrile?

asked Mar 21, 2014 by thanvigandhi_1

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 2\hat i -5 \hat j +\hat k + \lambda (3\hat i +2 \hat j +6\hat k)\: and \: \overrightarrow r = 7\hat i - 6\hat k + \mu (\hat i +2\hat j +2\hat k) $

asked Mar 20, 2014 by rvidyagovindarajan_1

1 answer

Copper is extracted from its sulphiate are by

asked Mar 15, 2014 by meena.p

1 answer

For a gaseous reaction $2A_2(g) + 5B_2(g) \rightarrow 2A_2B_5(g)$ at $ 27^{\circ}C$ the heat change at constant pressure is found to be $-50160\: J$. Calculate the value of internal energy change $(\Delta U). (R = 8.314 \: J/K\: mol)$

asked Mar 13, 2014 by thanvigandhi_1

1 answer

Find the sum of $n$ terms of the series $3\times 1^2+5\times 2^2+7\times 3^2+.........$

asked Mar 7, 2014 by rvidyagovindarajan_1

1 answer

BuNa - S is which of the following?

asked Mar 5, 2014 by thanvigandhi_1

1 answer

Which of the following order is correct regarding the relative basicity of amines?

asked Feb 27, 2014 by sreemathi.v

1 answer

The $5^{th},8^{th}\:and\:11^{th}$ terms of a $G.P.$ are $p,q\:and\:s$ respectively. Show that $q^2=ps$

asked Feb 25, 2014 by rvidyagovindarajan_1

1 answer

In $CH_3CH_2OH$ the bond that undergoes heterolytic cleavage most readily is

asked Feb 20, 2014 by meena.p

1 answer

In an $A.P.$ the first term is $2$ and the sum of first $5$ terms is one-fourth of the next five terms. Find its $20^{th}$ term.

asked Feb 19, 2014 by rvidyagovindarajan_1

1 answer

Which of the following is an example of aldol condensation?

asked Feb 18, 2014 by sreemathi.v

1 answer

Find the first $5$ terms of the sequence whose $n^{th}$ term is given by $t_n=2^n$

asked Feb 17, 2014 by rvidyagovindarajan_1

1 answer

Calculate the temperature at which 28g $N_2$ occupies a volume of 10 litres at 2.46 atm.

asked Feb 11, 2014 by sharmaaparna1

1 answer

Find the angle between the lines whose slope are $\large\frac{3}{2}$ and 7?

asked Feb 3, 2014 by sreemathi.v

1 answer

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