Recent questions tagged jeemain

Let A and B be two symmetric matrices of same order. Then the matrix $AB-BA$ is :

asked Oct 9, 2013 by meena.p

1 answer

If $f(x) =2x^4-13 x^2+ax+b$ is divisible by $x^2-3x+2$, then $(a,b) = $

asked Oct 9, 2013 by meena.p

2 answers

$\large\frac{3\cos\theta+\cos 3\theta}{3\sin \theta-\sin 3\theta}$ is equal to

asked Oct 9, 2013 by sreemathi.v

1 answer

If $\alpha, \beta,\gamma$ are the roots of $x^3+4x+1=0,$ then the equation whose roots are $\large\frac{\alpha^2}{\beta +\gamma},\frac{\beta^2}{\gamma+\alpha},\frac{\gamma^2}{\alpha+\beta}$ is :

asked Oct 9, 2013 by meena.p

1 answer

Let $f(x)=x^2+ax+b,$ where $a,b \in R$. If $f(x) =0$ has all its roots imaginary, then the roots of $f(x)+f'(x)+f''(x)=0$ are:

asked Oct 9, 2013 by meena.p

1 answer

The roots of $(x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0,a \in R$ are always:

asked Oct 9, 2013 by meena.p

1 answer

The value of $\cos y\cos\big(\large\frac{\pi}{2}$$-x)$$-\cos(\large\frac{\pi}{2}$$-y\big)\cos x+\sin y\cos\big(\large\frac{\pi}{2}-x\big)$$+\cos x.\sin\big(\large\frac{\pi}{2}$$-y\big)$ is zero.If

asked Oct 9, 2013 by sreemathi.v

1 answer

$\large\frac{1}{e^{3x}}$$(e^x+e^{5x})=a_0+a_1x+a_2x^2+.........=>\; 2a_1+2^3a_3+2^5a_5+........=$

asked Oct 9, 2013 by meena.p

1 answer

For $|x| < 1$, the constant term in the expansion of $\large\frac{1}{(x+1)^2(x-2)}$ is :

asked Oct 9, 2013 by meena.p

1 answer

If x is numerically so small so that $x^2$ and higher powers of x can be neglected, then $\bigg(1+ \large\frac{2x}{3}\bigg)^{\large\frac{3}{2}}$$.(32+5x)^{\large\frac{-1}{5}}$ is approximately equal to :

asked Oct 8, 2013 by meena.p

1 answer

The coefficient of $x^{24}$ in the expansion of $(1+x^2)^{12}(1+x^{12}) (1+x^{24})$ is :

asked Oct 8, 2013 by meena.p

1 answer

A binary sequence is an array of 0's and 1's. The number of n-digit binary sequences which contain even number of 0's is :

asked Oct 8, 2013 by meena.p

1 answer

A short magnet of magnetic moment M, is placed on a straight line. The ratio of magnetic induction fields $B_1, B_3, B_3$ values on this line at points which are at distances 30 cm , 60 cm and 90 cm respectively from the center of the magnet is

asked Oct 8, 2013 by thanvigandhi_1

1 answer

A bar magnet of moment of inertia I is vibrated in a magnetic field of induction $0.4 \times 10^{-4}T$ . The time period of vibration is 12 sec. The magnetic moment of the magnet is 120$Am^2$ . The moment of inertia of the magnet is ( in $kgm^2$) approximately

asked Oct 8, 2013 by thanvigandhi_1

1 answer

Light of wavelength $ \lambda$ from a point source falls on a small circular obstacle of diameter 'd' . dark and bright circular rings around the central bright spot are formed on a screen beyound the obstacle. The distance between the screen and obstacle is D. Then, the condition for the formation of rings is

asked Oct 8, 2013 by thanvigandhi_1

1 answer

A binary sequence is an array of $0's $ and $1's$. The number of n-digit binary sequences which contain even number of $0's$ is:

asked Oct 8, 2013 by meena.p

1 answer

$p$ points are chosen on each of the three co planar lines. The maximum number of triangles formed with vertices at these points is :

asked Oct 8, 2013 by meena.p

1 answer

The number of subsets of $\{1,2,3......,9\}$ containing at least one odd number is :

asked Oct 8, 2013 by meena.p

1 answer

Using mathematical induction, the numbers $a_n\;'s$ are defined by, $a_0=1,a_{n+1}=3n^2+n+a_n( n \geq 0)$. Then $a_n=$

asked Oct 8, 2013 by meena.p

1 answer

The magnifying power of the astronomical telescope for normal adjustment is 50. The focal length of the eye piece is 2cm. The required length of the telescope for normal adjustment is

asked Oct 8, 2013 by thanvigandhi_1

1 answer

$\bigg \{ x \in R :\large\frac{2x-1}{x^3+4x^2+3x} \in $$R \bigg \} =$

asked Oct 8, 2013 by meena.p

1 answer

If $f:[2,3] \to R$ is defined by $f(x) =x^3+3x-2,$ then the range $f(x) $ is contained in the interval:

asked Oct 8, 2013 by meena.p

1 answer

A small angled prism of refractive index 1.4 is combined with another small angled prism of refractive index 1.6 to produce dispertion without deviation. If the angle of first prism is $6^{\circ}$ , the angle of the second prism is

asked Oct 8, 2013 by thanvigandhi_1

1 answer

If $\tan\alpha=\large\frac{1}{7}$ and $\sin\beta=\large\frac{1}{\sqrt {10}}$ where $0\;<\alpha,\beta\;<\;\large\frac{\pi}{2}$ then $2\beta$ is equal to:

asked Oct 8, 2013 by sreemathi.v

1 answer

A pipe closed at one end and open at the other end resonates with a sound of frequency 135 Hz and also with 165 Hz, but not at any other frequency intermediate between these two. Then, the frequency of the fundamental note of the pipe is

asked Oct 8, 2013 by thanvigandhi_1

1 answer

A wire of length 'L' and linear density 'm' is stretched by a force 'T' and the frequency is $n_1$. Another wire of the same material of length 2L and same linear density is stretched by a force 9T and its frequency is $n_2$ . Value of $(n_2 / n_1 )$ is,

asked Oct 8, 2013 by thanvigandhi_1

1 answer

The value of $\cos 12^{\large\circ}+\cos 84^{\large\circ}+\cos 156^{\circ}+\cos 132^{\large\circ}$ is

asked Oct 8, 2013 by sreemathi.v

1 answer

Match the following

asked Oct 8, 2013 by thanvigandhi_1

1 answer

$\sin 47^{\circ}+\sin 61^{\circ}-\sin 11^{\circ}-\sin 25^{\circ}$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

If $\cos(\theta-\alpha)=a$ and $\sin(\theta-\beta)=b$ then $\cos^2(\alpha-\beta)+2ab\sin(\alpha-\beta)$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

If $3\sin 2\theta=2\sin 3\theta$ and $0\;<\;\theta\;<\pi$ then value of $\sin\theta$ is

asked Oct 8, 2013 by sreemathi.v

1 answer

What is the phenotype of the offspring born to a woman with normal vision ( homogygous ) and a colour blind man?

asked Oct 8, 2013 by thanvigandhi_1

1 answer

If $\sin B=\large\frac{1}{5}$$\sin(2A+B)$ then $\large\frac{\tan(A+B)}{\tan A}$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

A cylindrical vessel filled upto a height at the bottom of the vessel. Area of hole is $\bigg(\large\frac{1}{100}\bigg)$ that of the area of vessel is maintained at 2 m . What is the time required to empty water equal to volume of water initially present in the vessel.

asked Oct 8, 2013 by meena.p

1 answer

Identify the correct sequence of stages in the Ross cycle of plasmodium

asked Oct 8, 2013 by thanvigandhi_1

1 answer

A body floats on mercury with $\large\frac{1}{3}$ of its volume below the surface. Another liquid of density $\large\frac{1}{10}$ that of mercury is poured on top to cover the body completely. What is the fraction of cube now immersed.

asked Oct 8, 2013 by meena.p

1 answer

The numerical value of $\tan\large\frac{\pi}{3}$$+2\tan\large\frac{2\pi}{3}$$+4\tan\large\frac{4\pi}{3}$$+8\tan\large\frac{8\pi}{3}$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

A quadratic equation whose roots are $cosec^2\theta$ and $\sec^2\theta$ can be

asked Oct 8, 2013 by sreemathi.v

1 answer

If $\sin\theta+cosec\theta=2$ then $\sin^2\theta+cosec^2\theta$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

A ball of density $0.5 \times 10^3$ is dropped from a height of $10\; m$ and then enters water . Upto what depth will the ball go inside the water before it starts raising up.

asked Oct 8, 2013 by meena.p

1 answer

If $A$ lies in the third quadrant and $3 \tan A-4=0$ then $5\sin 2A+3\sin A+4\cos A$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

To what depth, relative to the surface does mercury dip down in a capillary tube of radius $1.0 mm$ surface tension $T=0.5 N/m$ density of mercury $=13.6 \times 10^{3}\;kg/m^3$ $\;g=9.8 m/s^2$

asked Oct 8, 2013 by meena.p

1 answer

If $\sin\theta_1+\sin\theta_2+\sin\theta_3=3$ then $\cos\theta_1+\cos\theta_2+\cos\theta_3$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

A tank of diameter $0.6 \;m$ and height $1\;m$ has a hole at of diameter $10\;mm$ at a depth of $0.6\;m$ from the free surface. What is the thrust force due to the water issuing from the hole. $(g=10m/s^2)$

asked Oct 8, 2013 by meena.p

1 answer

If $\sin\alpha=\sin\beta$ and $\cos\alpha=\cos\beta$ then

asked Oct 8, 2013 by sreemathi.v

1 answer

The energy released when $1000$ small drops each of radius $10^{-7}\;m$ coalesce to from a single big drop is (Surface tension of liquid is $14 \times 10^{-2}\;N/m$)

asked Oct 8, 2013 by meena.p

1 answer

The value of $\theta(0 \;< \theta\;<360^{\circ})$ satisfying $cosec \;\theta-2=0$ are

asked Oct 8, 2013 by sreemathi.v

1 answer

If $x=y\cos\large\frac{2\pi}{3}$$=z\cos\large\frac{4\pi}{3}$ then $xy+yz+zx$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

A solid blocks whose density is greater then the density of liquid is placed inside the liquid. It begins to float. Now a string attached to the solid holds the solid submerged. Now the tension in the string is $T_1$. If the system is accelerated upward with an acceleration a how will the tension in the string change.

asked Oct 8, 2013 by meena.p

1 answer

A hydraulic press has a load F placed on the larger piston which is balanced by a smaller piston where a load of $20\;kg$ is kept. (neglecting mass of position) The larger piston has a diameter of $0.35\;m$ and the smaller piston has diameter of $0.1\;m$ The press is filled with oil of density $750\;kg/m^3$ and the larger position is at a height $1.5\;m$ relative to smaller piston. Find F.

asked Oct 8, 2013 by meena.p

1 answer

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