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Answers posted by pady_1
Questions
4370
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$\bigg\{x \in R \bigg | \log \bigg[(1.6)^{1-x^2}-(0.625)^{6(1+x)}\bigg] \in R\bigg\}$=
answered
Nov 7, 2013
$(d)\;(-1,7)$
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votes
If $f(x)=(p-x^n)^{\Large\frac{1}{n}}$$, p\; >\; 0$ and n is a positive integer, then $f(f(x))$=
answered
Nov 7, 2013
(a) x
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votes
$X=\begin {bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}$;$X^n$ is equal to :
answered
Nov 7, 2013
$(d)\;none\;of\;these$
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Derive $\sec^{-1}\bigg(\large\frac{1}{2x^2-1}\bigg)$ with respect to $\sqrt {1+3x}$ at $x=-\large\frac{1}{3}$:
answered
Nov 7, 2013
(d) none of these
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votes
The vector area of triangle whose two sides are given by $2 \hat {i}-7 \hat {j}+\hat {k} $ and $ 4 \hat j -3 \hat k$ is :
answered
Nov 7, 2013
$(d)\;none\;of\;these$
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The inverse element of $\omega ^2$ in the multiplicative catine group $\{1, \omega,\omega ^2\}$ where $\omega$ is the cube roots of unity, is :
answered
Nov 7, 2013
(b) $\omega$
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The circles $x^2+y^2-4x+6y+8=0$ and $x^2+y^2-10x -6y+14=0,$ touch:
answered
Nov 7, 2013
(a) externally
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Tha smallest value of $x^2-3x+3$ in the interval $(-3,\large\frac{3}{2})$ is equal to :
answered
Nov 7, 2013
(c) $\large\frac{3}{4}$
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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:
answered
Nov 7, 2013
(d) 6,-1
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votes
The value of the integral $\int \sqrt x e^{\sqrt x} dx$ is :
answered
Nov 7, 2013
$(c)\;2xe^{\sqrt x}-4 \sqrt x e^{\sqrt x}+c $
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votes
The locus represented by $|z-1|=|z+i|$ is :
answered
Nov 7, 2013
(c) a straight line through the orgin
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The equation of the circle passing through (2,1) and touching the co-ordinate axes, is :
answered
Nov 7, 2013
$(a)\;x^2+y^2-2x-2y+1=0$
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The length of the latus rectum of an ellipse is $\large\frac{1}{3}$ of the major axis. It's $e$ is :
answered
Nov 7, 2013
$(b)\;\large\sqrt {\frac{2}{3}} $
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If the mean and variance of a binomial distribution are $\large\frac{15}{4}$ and $\large\frac{15}{16}$. The number of trials are:
answered
Nov 7, 2013
(c) 5
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The probabilities of problem being solved by two students are $\large\frac{1}{2}$ and $\large\frac{1}{3}$. Find the probability of the problem being solved.
answered
Nov 7, 2013
$(a)\;\large\frac{2}{3}$
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votes
The unit vector perpendicular to each of $2 \hat {i}-\hat {j}+\hat {k}$ and $ 3 \hat {i}+4 \hat j-\hat k$ is :
answered
Nov 7, 2013
$(b)\;\large\frac{(-3,5,11)}{\sqrt {155}}$
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The number of non-zero terms in the expansion of $(1+ 3 \sqrt {2}x)^9+(1-3 \sqrt {2} x)^9$ is equal to :
answered
Nov 7, 2013
(b) 5
0
votes
$\tan x-\tan 3x-\tan 2x $ is equal to :
answered
Nov 7, 2013
$(c)\;\tan 5x \; \tan 3x\;\tan 2x$
0
votes
$y= \sin ^{-1} \bigg[\large\frac{1-x^2}{1+x^2}\bigg],$ find $\large\frac{dy}{dx}$:
answered
Nov 7, 2013
$(b)\;\large\frac{-2}{1+x^2}$
0
votes
The orthocentre of a triangle whose vertices are $(0,0),(8,0),(4,6), $ is :
answered
Nov 7, 2013
$(b)\;(4,8/3)$
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votes
In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?
answered
Nov 7, 2013
$(b)\;^{10}C_5 \times ^8C_4$
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votes
If the function $f(x)=\large\frac{3x+4 \tan x}{x}$ is continuous, then what is the value of $f(x)$ at $x=0$?
answered
Nov 7, 2013
(b) 7
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votes
The reagent that has action on glass is :
answered
Nov 7, 2013
(b) hydrofluoric acid
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votes
One atom of $^{39}_{19} K$ contains :
answered
Nov 7, 2013
$(a)\;19 p;\;20n\;and \; 19\;e^-$
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votes
$9.8\;g$ of $H_2 SO_4$ is present in two liters of a solution. The molarity of the solution is :
answered
Nov 7, 2013
(b) 0.05 M
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votes
Which of the following oxides of nitrogen is anhydride of $HNO_3$ ?
answered
Nov 7, 2013
$(c)\;N_2O_5$
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votes
The bonds in $K_4 Fe(CN)_6$ are:
answered
Nov 7, 2013
(d) ionic,covalent and co-ordinate covalent bond
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The $pK_a$ of a certain weak acid is $4.0.$ What should be the [salt] to [acid] ratio, if we have to prepare a buffer with a $pH=5$ using the acid and one of the salts?
answered
Nov 7, 2013
(c) 10:1
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Which of the following statements about the halogen is correct?
answered
Nov 7, 2013
(a) They are all diatomic and forms univalent ions
0
votes
In which one of the following reactions does the heat change represent the heat of formation of water?
answered
Nov 7, 2013
$(b)\;H_2+I/2O_2 \;\to\;2 H_2O; \Delta H=-58\; kcal$
0
votes
If $\overrightarrow {A}, \overrightarrow {B}$ are perpendicular vectors $ \overrightarrow {A}=5 \hat {i}+7 \hat {j}-3 \hat {k}.\quad \overrightarrow {B}=2 \hat {i}+2 \hat {j}-c \hat {k}$. The value of $\mathit{c}\;$ is:
answered
Nov 7, 2013
(d) -8
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votes
When a material is placed in magnetic field B but opposite in direction is reduced. The material is:
answered
Nov 7, 2013
(a) diamagnetic
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A piece of aluminium and germanium each are cooled from $T_1\;K $ to $T_2\;K$. The resistance of:
answered
Nov 7, 2013
(d) aluminimum decreases and that of germanium increases
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votes
A charge $\mathit{q}\;$ is placed at the center of line joining two equal charges Q. The system of 3 charges will be in equilibrium if $\mathit{q}\;$ is equal to:
answered
Nov 7, 2013
$(b)\;\large\frac{-Q}{4}$
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votes
$\phi$ of vibration of any particle in a standing wave produced along a stretched string depends on:
answered
Nov 7, 2013
(d) time
0
votes
Light of frequency 1.5 times the threshold frequency, incident on a photo sensitive material. If the frequency of incident light is halved and the intensity is doubled the photo current becomes:
answered
Nov 7, 2013
(d) zero
0
votes
The work done to get n smaller equal size spherical drops from a bigger size spherical drop of water is proportional to :
answered
Nov 7, 2013
$(b)\;\bigg[1-\frac{1}{n^{1/3}}\bigg] $
0
votes
The average force that is necessary to stop a hammer with $25 $ N/s momentum in 0.05 $s$ is:
answered
Nov 7, 2013
(a) 500 N
0
votes
A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are moved further apart by means of insulting handles:
answered
Nov 7, 2013
(d) the voltage across the plates increases
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votes
A wooden block is dropped from the top of a cliff 100 m high. Simultaneously a bullet of mass 10 g is fired from the foot of the cliff upwards with a velocity of 100 m/s. The bullet and wooden block will meet each other after a time
answered
Nov 7, 2013
(c) 1 s
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votes
The total mechanical energy of a harmonic oscillator of $A=1$ m and force constant $200 N/m$ is 150 J. Then:
answered
Nov 7, 2013
(d) the maximum KE is 150 J
0
votes
Earth is flattened at poles and bulging at the equator. This is due to:
answered
Nov 7, 2013
(c) centrifugal force is more at the equator than at poles
0
votes
The Spheres of different materials one with double the radius and one-fourth wall thickness of the other are filled with ice. If the time taken for complete melting of ice in large radius one is 25 minutes and that for smaller one is 16 minutes, the ratio of thermal conductivities of materials of large sphere to small sphere is:
answered
Nov 7, 2013
(d) 1:25
0
votes
Keeping the banking angle same, to increase the maximum speed with which a vehicle can travel on a curved road by 10 percent the radius of curvature of the road has to be changed from 20 m to :
answered
Nov 7, 2013
(c) 24.2 m
0
votes
An element '$\mathit{X}$' decays first by positron emission and then two $\alpha$ - particles are emitted in successive radioactive decay. If the product nucleus has mass number 227and atomic number 89 the mass number and atomic number of element '$\mathit{X}$' are:
answered
Nov 7, 2013
(b) (235,94)
0
votes
If the work done in stretching a wire by 1 mm is 2 J, the work necessary for stretching another wire of same material but with double radius of cross-section and the half the length by 1 mm (joule) is:
answered
Nov 7, 2013
(a) 16
0
votes
A charged bead is capable of sliding freely through a string held vertically in tension. An electric field is applied parallel to the string, so that the bead stays at rest at middle of the string. If the electric field is switched off momentarily switched on:
answered
Nov 7, 2013
(a) the bead moves downwards and stops as soon as the field is switched on
0
votes
The pair of physical quantities having the same dimensional formula is:
answered
Nov 7, 2013
(a) energy and torque
0
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If '$\mathit{c}$' is velocity of light in free space, the time taken by the light to travel a distance '$\mathit{x}$' in a medium of refractive index '$\mu$' is given by :
answered
Nov 7, 2013
$(b)\;\large\frac{\mu\;x}{c}$
0
votes
The apparent coefficient of expansion of a liquid, when heated in a copper vessel is '$\mathit{c}$' and when heated in a silver vessel is '$\mathit{s}$'. If '$\mathit{A}$' is the linear coefficient of expansion of copper then linear coefficient of expansion of silver is :
answered
Nov 7, 2013
$(b)\;\large\frac{c+3A-s}{3}$
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