Recent questions tagged medium

Express the given complex number in the form $\;a+ib : (-2-\large\frac{1}{3} \normalsize i)^{3}$

asked Apr 9, 2014 by yamini.v

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Express the given complex number in the form $\;a+ib : (\large\frac{1}{3}$$+3i)^{3}$

asked Apr 9, 2014 by yamini.v

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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

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For any complex number z,the minimum value of $\mid z\mid+\mid z-2i\mid $ is

asked Apr 9, 2014 by sreemathi.v

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Given,$3^{49}(x+iy)=(\large\frac{3}{2}+\frac{\sqrt 3}{2})^{100}$$\quad y\in N$ and $x=ky$,then value of k is

asked Apr 9, 2014 by sreemathi.v

1 answer

Given,$(4+i)(z+\overline{z})-(3+i)(z-\overline{z})+26i=0$ then value of $\mid z\mid^2$ is

asked Apr 9, 2014 by sreemathi.v

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The focus of the parabola $y^2-x-2y+2=0$ is

asked Apr 9, 2014 by meena.p

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If $z=\sqrt{20i-21}+\sqrt{20i+21}$,then possible value of arg(z) equals

asked Apr 9, 2014 by sreemathi.v

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If $\mid z\mid=2$,then set of points $x+iy=z-\large\frac{1}{z}$ lie on,

asked Apr 9, 2014 by sreemathi.v

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If $\big|z-\large\frac{4}{z}\big|$$=2$,the maximum value of $\mid z\mid$ is equal to

asked Apr 9, 2014 by sreemathi.v

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Line $y=mx+c$ will touch the parabola <Br> $\qquad \qquad \qquad x^2=4ay$ if,

asked Apr 9, 2014 by meena.p

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If $z_1+z_2+z_3=0$ and $\mid z_1\mid=\mid z_2\mid=\mid z_3\mid=1$ then value of $z_1^2+z_2^2+z_3^2$ equals

asked Apr 9, 2014 by sreemathi.v

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The common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is

asked Apr 9, 2014 by meena.p

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Let $z,\omega$ be two comlex numbers such that $\overline{z}+i\overline{\omega}=0$ and $arg(z\omega)=\pi$, then $arg(z)$ equal to

asked Apr 9, 2014 by sreemathi.v

1 answer

The normal at $(a,2a)$ on $y^2=4ax$ meets the curve again at $(at^2,2at)$ then the value of t is

asked Apr 9, 2014 by meena.p

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If $\mid z+4\mid\leq 3$,then maximum value of $\mid z+1\mid$ is

asked Apr 9, 2014 by sreemathi.v

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If $\mid z^2-1\mid=\mid z\mid^2+1$ then $z$ lies on

asked Apr 9, 2014 by sreemathi.v

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If $\mid z\mid=1$ and $z\neq \pm 1$ then $\large\frac{z}{1-z^2}$ lie on

asked Apr 9, 2014 by sreemathi.v

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Let $z=\begin{vmatrix}1&2+3i&4+5i\\2-3i&6&7+8i\\4-5i&7-8i&-9\end{vmatrix}$,then

asked Apr 9, 2014 by sreemathi.v

1 answer

If $\omega$ is a complex root of unity, one root of the equation $\begin{vmatrix}x+1 &\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega\end{vmatrix}=0$ is

asked Apr 9, 2014 by sreemathi.v

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$z=\large\frac{1}{1-\cos \theta+i\sin \theta}$.Re(z) is equal to

asked Apr 9, 2014 by sreemathi.v

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Given $x=2+5i$, the value of $x^3-5x^2+33x-19$ is

asked Apr 9, 2014 by sreemathi.v

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If $\omega=\large\frac{z-\perp}{z+1}$$\quad (z\neq -\perp)$ and $\mid z\mid =\perp$ then $Re(\omega)$ equals

asked Apr 9, 2014 by sreemathi.v

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Find the equation of the chord of the parabola $y^2=12x$ which is bisected at $(5,-7)$

asked Apr 9, 2014 by meena.p

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$z$ and $\omega$ are two non zero complex numbers such that $\mid z\mid=\mid \omega\mid$ and $arg(z)+arg(\omega)=\pi$.Then $z$ equals

asked Apr 9, 2014 by sreemathi.v

1 answer

An ideal gas initially at a state $\;(P_{1},V_{1})\;$ is allowed to expand isothermally to a state $\;(P_{2},V_{2})\;$ . Then the gas is compressed adiabatically to its initial volume $\;V_{1}\;$ . Let the final pressure be $\;p_{3}\;$ and the workdone by the gas be W , Then

asked Apr 9, 2014 by yamini.v

1 answer

If $z\neq 0$ is a complex no having arg=$\large\frac{\pi}{4}$,then

asked Apr 9, 2014 by sreemathi.v

1 answer

The radius of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is

asked Apr 9, 2014 by meena.p

1 answer

A sample of an ideal gas is taken through the process ABCA shown . It rejects 50 J of heat during part AB , does not absorb or reflect heat during BC and accepts 70 J of heat during CA . Forty joules of work is done on the gas during the part BC . The internal energies at B and C respectively will be $\;(u_{A} =1500\;J)$

asked Apr 9, 2014 by yamini.v

1 answer

Let $a,b$ be real numbers between $0\; and\; 1$ such that $z_1=1+bi,z_2=a+i$ and $z_3=0$ forms an equilateral triangle then

asked Apr 9, 2014 by sreemathi.v

1 answer

The equation $2x^2+3y^2-8x-18y+35=k$ represents

asked Apr 9, 2014 by meena.p

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The complex numbers $\sin x+i\cos 2x$ and $\cos x-i\sin 2x$ are conjugate for

asked Apr 9, 2014 by sreemathi.v

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Logarithms of readings of pressure and volume from ideal gas were plotted on a graph as shown . By measuring the gradient , it can be shown that the gas may be

asked Apr 9, 2014 by yamini.v

1 answer

If complex numbers $z_1,z_2,z_3$ represents vertices of an equilateral triangle and $\mid z_1\mid=\mid z_2\mid=\mid z_3\mid$ then

asked Apr 9, 2014 by sreemathi.v

1 answer

An ideal gas is filled in a closed rigid and thermally insulated container . A coil of 100 oms resistor carrying a current of 1 A for 5 minutes supplies heat to the gas . The change in the internal energy of the gas is

asked Apr 9, 2014 by yamini.v

1 answer

An ideal gas is taken through the cycle $\;A \to B \to C \to A \;$ as shown in the figure . If the net heat supplied to the gas in the cycle is 5 J , the work done by the gas is the process $\;C \to A\;$ is

asked Apr 9, 2014 by yamini.v

1 answer

Which is false about auxin.It

asked Apr 9, 2014 by sreemathi.v

1 answer

Starting from the same initial conditions , an ideal gas expands from volume $\;V_{1}\;$ to $\;V_{2}\;$ in three different ways . The work done by the gas is $\;W_{1}\;$ if the process is purely isothermal , $\;W_{2}\;$ if purely isobaric and $\;W_{3}\;$ if purely adiabatic . Then :

asked Apr 9, 2014 by yamini.v

1 answer

The hormone capable of replacing the requirement of long photoperiods for flowering is

asked Apr 9, 2014 by sreemathi.v

1 answer

Bioassay of IAA is

asked Apr 9, 2014 by sreemathi.v

2 answers

The length of the diameter of the circle which touches the x-axis at the point $(1,0)$ and passes through the point $(2,3)$ is

asked Apr 9, 2014 by meena.p

1 answer

Which one increases in the absence of light

asked Apr 9, 2014 by sreemathi.v

1 answer

A thermodynamics ideal gas , initially at temperature $\;T_{1}\;$ ia enclosed in a cylinder fitted with a friction less piston . The gas is allowed to expand adiabatically to a temperature $\;T_{2}\;$ by releasing the piston suddenly . If $\;L_{1}\;$ and $\;L_{2}\;$ are the lengths of gas column before and after expansion respectively , then $\;\large\frac{T_{1}}{T_{2}}\;$ is given by

asked Apr 9, 2014 by yamini.v

1 answer

Auxin suppresses growth of

asked Apr 9, 2014 by sreemathi.v

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Internodal elongation is stimulated by

asked Apr 9, 2014 by sreemathi.v

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IAA was first isolated from

asked Apr 9, 2014 by sreemathi.v

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A thermodynamic process , the pressures and volumes corresponding to some points in the figure are $\;P_{A} = 3 \times 10^{4}\;pa \;,V_{A} = 2 \times 10^{-3} \;m^3\;$ . $\;P_{B}=8 \times 10^{4}\;pa\;V_{D} = 5 \times 10^{-3}\;m^3\;$. In the process AB , 600 J of heat and in the process BC , 200 J of heat is added to the system . The change in internal energy in process AC would be

asked Apr 9, 2014 by yamini.v

1 answer

Natural plant hormones were isolated for the first time form

asked Apr 9, 2014 by sreemathi.v

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Volume $\;V_{S}\;$ Temperature graph of two moles of helium gas is show in figure . The ratio of heat absorbed and the work done by the gas in process 1 - 2 is

asked Apr 9, 2014 by yamini.v

1 answer

Plant material used in tissue culture is

asked Apr 9, 2014 by sreemathi.v

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