Recent questions tagged q5

Find the equation of the set of points $P$ the sum of whose distance from $(4,0,0)$ and $(-4,0,0)$ is equal to $10$

asked May 3, 2014 by rvidyagovindarajan_1

1 answer

If $x^my^n=(x+y)^{m+n}$ show that $\large\frac{dy}{dx}=\frac{y}{x}$

asked May 1, 2014 by meena.p

0 answers

Prove the following by using the principle of mathematical induction for all $ n \in N $ \[\] $1.3+2.3^2+3.3^3+...+n.3^n=\large\frac{(2n-1)3^{n+1}+3}{4}$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

If $\tan x=\large\frac{b}{a}$,then find the value of $\sqrt{\large\frac{a+b}{a-b}}+\sqrt{\frac{a-b}{a+b}}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Evaluate $\sin x+\sin 3x+\sin 5x+\sin 7x$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the general solution for each of the following equation $\cos 4x=\cos 2x$

asked Apr 18, 2014 by sreemathi.v

1 answer

Find the values of other five trignometric function $\tan x=\large\frac{-5}{12}$,$x$ lies in the second quadrant

asked Apr 17, 2014 by sreemathi.v

1 answer

In a circle of diameter 40cm,the length of a chord is 20cm.Find the length of the minor arc of the chord

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 ) $\large\frac{ax+b}{cx+d}$

asked Apr 12, 2014 by thanvigandhi_1

1 answer

Find the $4th$ term in the expansion of $(x - 2y)^{12}$.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(x + \large\frac{1}{x}$$)^6$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

If the lines $3x – 4y + 4 = 0$ and $6x – 8y – 7 = 0$ are tangents to a circle, then find the radius of the circle

asked Apr 9, 2014 by balaji.thirumalai

1 answer

A rod of length 12cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3cm from the end in contact with the x-axis.

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 $\; 5y^2-9x^2=36$

asked Apr 8, 2014 by balaji.thirumalai

1 answer

For the function \[\] $f(x) = \large\frac{x^{100}}{100}$$+ \large\frac{x^{99}}{99}$$+...+\large\frac{x^2}{2}$$+x+1$ \[\]then $f'(1)$ is

asked Apr 7, 2014 by thanvigandhi_1

1 answer

An open glass tube is immersed in mercury in such a way that a length of $8\; cm$ extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional $46\; cm$. What will be length of the air column above mercury in the tube now? (Atmospheric pressure = $76\; cm$ of Hg)

asked Apr 7, 2014 by meena.p

1 answer

Evaluate the following limits $ \lim\limits_{ x \to -1} \large\frac{x^{10}+x^5+1}{x-1}$

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}{49}$$+\large\frac{y^2}{36 }$$=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 $y^2 = 10x$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre $(-a,-b)$ and radius $\sqrt {a^2-b^2}$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the sum of all the integers from $1$ and $100$ that are divisible by $2$ or $5$.

asked Mar 29, 2014 by rvidyagovindarajan_1

1 answer

Fructose has/is

asked Mar 27, 2014 by thanvigandhi_1

1 answer

Basic hydrolysis of alkyl cyanide produces

asked Mar 21, 2014 by thanvigandhi_1

1 answer

Let $R=\{(a,a^3):\:a\: is\: a\: prime\:number\: less\: than\: 5\}$ be a relation. Find the Range of $R$.

asked Mar 20, 2014 by rvidyagovindarajan_1

1 answer

During the extraction of copper from chal copy rites,iron, Si moved as

asked Mar 17, 2014 by meena.p

1 answer

What is the bond dissociation energy of $ HCl?( \Delta H_f^o\: of\: HCl(g), H(g), Cl(g) \: are\: -92.2, 217.7\: and\: 121\: kJ/mol$ respectively)

asked Mar 13, 2014 by thanvigandhi_1

1 answer

Find the sum of 20 terms of the series. $5^2+6^2+7^2+.....20^2$

asked Mar 12, 2014 by rvidyagovindarajan_1

1 answer

The repeating units in PTFE are

asked Mar 5, 2014 by thanvigandhi_1

1 answer

The order of increasing basic strength among P-amino benzaldehyde(I),P-nitro aniniline (II) and P-bromo aniline (III) is

asked Feb 27, 2014 by sreemathi.v

1 answer

A laser is a coherent source because it contains:

asked Feb 25, 2014 by thanvigandhi_1

1 answer

In an $A.P.$ if $p^{th}$ term is $\large\frac{1}{q}$ and $q^{th}$ term is $\large\frac{1}{p}$, then prove that the sum of first $pq$ terms is $\large\frac{1}{2}$$(pq+1)$ where $p\neq q$

asked Feb 20, 2014 by rvidyagovindarajan_1

1 answer

The $C-H$ bond distance is the longest in

asked Feb 20, 2014 by meena.p

1 answer

The cannizzaro reaction is not given by

asked Feb 18, 2014 by sreemathi.v

1 answer

Find the first $5$ terms of the sequence whose general term is $t_n=(-1)^{n-1}.\:5^{n+1}$

asked Feb 17, 2014 by rvidyagovindarajan_1

1 answer

A positively charged particle projected towards north is deflected towards west by a magnetic field. The field may be

asked Feb 17, 2014 by thanvigandhi_1

1 answer

Calculate the density of $CO_2\; at \;100^{\large\circ}C$ and 800mm Hg pressure.

asked Feb 12, 2014 by sharmaaparna1

1 answer

$ \text{If } \Delta = \begin{vmatrix} a_{11}&a_{12}&a_{13} \\ a_{21}&a_{22}&a_{23} \\ a_{31}&a_{32}&a_{33} \end{vmatrix} \text{ and } A_y \text{ is Cofactor of } a_y \text{, then the value of } a_{11}A_{21}+a_{12}A_{22}+a_{13}A_{23}=? $

asked Feb 11, 2014 by rvidyagovindarajan_1

1 answer

Find the equation of a line which is equidistant from the line $x=\large\frac{15}{2}$ and $x=\large\frac{1}{2}$?

asked Feb 4, 2014 by sreemathi.v

1 answer

Consider the charging of a capacitor. Let $Q_1$ be the charge given to it in first t seconds and $Q_2$ be the charge given to it in the next t seconds. Also, let $t_1$ be the time required to deposit a charge Q (less than half the maximum charge) and $t_2$ be the time required to deposit an additional charge of Q, then:

asked Feb 3, 2014 by thanvigandhi_1

1 answer

If $x= \cos^{-1} \bigg( \large\frac{1}{\sqrt {1+t^2}}\bigg) $ and $\; y= \sin ^{-1} \bigg( \large\frac{1}{\sqrt {1+t^2}}\bigg) $ then $\large\frac{dy}{dx}$

asked Jan 31, 2014 by meena.p

1 answer

The oxidation state of iron in $[Fe(CN)_6]^{3-}$

asked Jan 31, 2014 by sreemathi.v

1 answer

The no of valance electrons in potassium atom are

asked Jan 27, 2014 by sreemathi.v

1 answer

The reverse bias in p-n junction

asked Jan 27, 2014 by meena.p

1 answer

Let A and B denote the statements \[ \] A: $ \cos \alpha + \cos \beta + \cos \gamma = 0$ \[\] B: $ \sin \alpha + \sin \beta + \sin \gamma = 0$ \[\] If $ \cos(\beta- \alpha) + \cos( \gamma- \alpha) + \cos( \alpha - \beta)= -\large\frac{3}{2}$, then

asked Jan 22, 2014 by thanvigandhi_1

1 answer

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