Recent questions tagged q9

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 ) $\large\frac{px^2+qx+r}{ax+b}$

asked Apr 12, 2014 by thanvigandhi_1

1 answer

In the expansion of $(1 + a)^{m+n}$, prove that coefficients of $a^m$ and $a^n$ are equal.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $99^5$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the equations of the hyperbola satisfying the given conditions: Vertices: $(0,\pm 3)$, Foci: $(0,\pm 5)$

asked Apr 8, 2014 by balaji.thirumalai

1 answer

Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is

asked Apr 7, 2014 by meena.p

2 answers

Evaluate the following limits $ \lim\limits_{x \to 0} \large\frac{ax+b}{cx+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 $4x^2+9y^2=36$

asked Apr 2, 2014 by balaji.thirumalai

1 answer

Find the equation of the parabola that satisfies the given conditions: Vertex $(0,0)$ and Focus $(3,0)$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the centre and radius of the circle $2x^2+2y^2-x = 0$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

The first term of a G.P. is $1$. The sum of third term and fifth term is $90$. Find the common ratio of the G.P.

asked Mar 30, 2014 by rvidyagovindarajan_1

1 answer

$ \alpha $-helix refers to

asked Mar 27, 2014 by thanvigandhi_1

1 answer

Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n^2+2^n$.

asked Mar 24, 2014 by rvidyagovindarajan_1

1 answer

Write the value of the following: $\hat i \times (\hat j + \hat k)+ $$\hat j \times (\hat k + \hat i)+ $$\hat k \times (\hat i + \hat j)$

asked Mar 21, 2014 by balaji

1 answer

Oxidation of aniline with $k_2Cr_2O_7/H_2SO_4$ gives

asked Mar 21, 2014 by thanvigandhi_1

1 answer

Find the value of $\hat i\times (\hat j+\hat k)+\hat j\times (\hat k+\hat i)+\hat k\times (\hat i+\hat j)$

asked Mar 21, 2014 by rvidyagovindarajan_1

1 answer

The purest zinc is made

asked Mar 17, 2014 by meena.p

1 answer

Calculate the entropy change for the reaction \[\] $CO(g) + \large\frac{1}{2}$ $O_2(g) \rightarrow CO_2(g);\: \: \: \: \: \Delta S^o_{CO2} = 213.6\: J/Kmol, \Delta S^o_{CO }= 197.6\: J/Kmol, \Delta S^o_{O2} = 205.03 \: J/Kmol$

asked Mar 13, 2014 by thanvigandhi_1

1 answer

Among the following the correct statement is

asked Mar 10, 2014 by sreemathi.v

1 answer

The monomer of PVC is

asked Mar 6, 2014 by thanvigandhi_1

1 answer

The major product obtained in the following reaction is

asked Feb 28, 2014 by sreemathi.v

1 answer

Find the sum up to $n$ terms of the G.P. $1,-a,a^2,-a^3.........$

asked Feb 26, 2014 by rvidyagovindarajan_1

1 answer

The sum of $n$ terms of two $A.P.s$ are in the ratio $5n+4:9n+6$ Find the ratio of their $18^{th}$ terms.

asked Feb 22, 2014 by rvidyagovindarajan_1

1 answer

Among the following, the compound that can be most readily sulphonated is

asked Feb 20, 2014 by meena.p

1 answer

Refer the below reaction :

asked Feb 19, 2014 by sreemathi.v

1 answer

Find $a_9$ if $a_n=(-1)^{n-1}.n^3$

asked Feb 18, 2014 by rvidyagovindarajan_1

1 answer

According to kinetic theory of gases in an ideal gas between two successive collisions a gas molecule travels:

asked Feb 12, 2014 by sharmaaparna1

1 answer

The length of perpendicular from the origin to a line is 6 and line makes an angle of $145^{\large\circ}$ with the positive direction of y-axis .Find the equation of line.

asked Feb 4, 2014 by sreemathi.v

1 answer

General solution of differential equations: $e^y dx+(xe^y-2y)dy=0$

asked Feb 3, 2014 by meena.p

1 answer

Hydrazinium ion is

asked Jan 31, 2014 by sreemathi.v

1 answer

A p type semiconductor has acceptor level of 50 mev above the valance band. Find the maximum wave length of light which can create a hole.

asked Jan 27, 2014 by meena.p

1 answer

Chlorine can give highly ionic compound with

asked Jan 27, 2014 by sreemathi.v

1 answer

The first two terms of a geometric progression add up to 12. The terms of the G.P. are alternately positive and negative.The statement - The sum of the third and the fourth terms is 48 holds true for the first term being

asked Jan 23, 2014 by thanvigandhi_1

1 answer

The number of isotopes of hydrogen are

asked Jan 22, 2014 by sreemathi.v

1 answer

The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Composition of PAN is

asked Jan 20, 2014 by sreemathi.v

1 answer

When Y = 3, which of the following is FALSE?

asked Jan 17, 2014 by thanvigandhi_1

1 answer

Find the wave length of radiation required to excite the electron in ground level of $Li^{++}(z=3)$ to third energy level.Also find the ionization energy of $Li^{2+}$.(R=$1.097\times 10^7m^{-1})$

asked Jan 9, 2014 by sreemathi.v

1 answer

A pair of dice is rolled together till a sum of either 5 or 7 is obtained. The probability that 5 comes before 7 is

asked Jan 8, 2014 by thanvigandhi_1

1 answer

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 and 1 only. The probability that the determinant chosen is non-zero is

asked Jan 6, 2014 by thanvigandhi_1

1 answer

Three coins are tossed. The probability that not more than two coins will fall with head upwards is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Find the sum of the series $1^2$ - $2^2$ + $3^2$ - $4^2$ + $5^2$ - $6^2$.....$1000^2$.

asked Dec 31, 2013 by yamini.v

1 answer

If $P$ is the point of intersection of the line joining the points $Q(2,3,5)\:\:and\:\:R(1,-1,4)$ with the plane $5x-4y-z-1=0$. If $S$ is foot of $\perp$ drawn from the point $T(2,1,4)$ to the line $QR$, then the length of segment $\overrightarrow {PS}$ = ?

asked Dec 25, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\sqrt{\large\frac{x-\sin x}{x+\cos^2x}}$ then $\lim\limits_{x\to \infty}f(x)$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy . How much power is generated by the turbine ? $( g = 10\: m/s^2)$

asked Dec 14, 2013 by thanvigandhi_1

0 answers

Integrate : $\int \limits_0^{\infty} \large\frac{1}{(x^2+g^2)^7}dx$

asked Dec 12, 2013 by meena.p

1 answer

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