Recent questions tagged easy

If $\sin x+\sin^2x=1$ then value of $\cos^2x+\cos^4x$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

$\cos 2^3\large\frac{\pi}{10}$$\cos 2^4\large\frac{\pi}{10}$$\cos 2^5\large\frac{\pi}{10}........$$\cos 2^{10}\large\frac{\pi}{10}$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

$\sin\large\frac{9\pi}{14}$$\sin\large\frac{11\pi}{14}$$\sin\large\frac{13\pi}{14}$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

Two lines drawn through a point on the circumference of a circle divided the circle into three regions of equal area.Then the angle $\theta$ between the line is given by

asked Oct 7, 2013 by sreemathi.v

1 answer

The angle between minute hand and hour hand of a clock at "half past 4" equals

asked Oct 7, 2013 by sreemathi.v

1 answer

If $a\sin\theta+5\cos\theta=5$ then the value of $5\sin\theta-3\cos\theta$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

If $A=\cos^2\theta+\sin^4\theta$ then for all value of $\theta$

asked Oct 7, 2013 by sreemathi.v

1 answer

If $\large\frac{1+\sin 2x}{1-\sin 2x}$$=\cot^2(a+x)$ $\forall x\in R\sim \big(n\pi+\large\frac{\pi}{4}\big)$$ n\in N$ then $'a'$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

Siphon is a device to transfer liquid from a higher level to lower level. The condition of working of siphon is

asked Oct 7, 2013 by meena.p

1 answer

If $\sin x+\sin^2 x=1$ then the value of $\cos^2x+3\cos^{10}x+3\cos^8 x+\cos^6x$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

If $\cos x=\large\frac{2\cos y-1}{2-\cos y}$ where $x,y\in (0,\pi)$ then $\tan\large\frac{x}{2}$$.\cot\large\frac{y}{2}$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

If $A+B=\large\frac{\pi}{3}$ where $A,B\in R^+$ then the minimum value of $\sec A+\sec B$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

The numerical value of $\tan 20^{\circ}\tan 80^{\circ}\cot 50^{\circ}$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

If $\alpha+\beta+\gamma=\pi$ then the value of $\sin^2\alpha+\sin^2\beta-\sin^2\gamma$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

The maximum value of $\sin(\cos x)$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

If in a $\Delta ABC$ $\angle C=90^{\circ}$ then the maximum value of $\sin A\sin B$ is

asked Oct 7, 2013 by sreemathi.v

1 answer

The maximum value of $4\sin^2x+3\cos^2x+\sin\large\frac{x}{2}$$+\cos\large\frac{x}{2}$ is

asked Oct 7, 2013 by sreemathi.v

1 answer

In $\sin x=-\cos^2x$ then $\cos^2x(1+\cos^2x)$ equals

asked Oct 7, 2013 by sreemathi.v

1 answer

The minimum value of $\cos(\cos x)$ is

asked Oct 7, 2013 by sreemathi.v

1 answer

The maximum and minimum values of $7\cos\theta+24\sin\theta$ are equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

A rubber balloon has $200\;g$ water in it . It's weight in water will be (neglecting the weight of balloon)

asked Oct 4, 2013 by meena.p

1 answer

Two liquids which do not react chemically are placed in a bent tube as shown. The heights of liquids above their surface of separation (Common surface) are

asked Oct 4, 2013 by meena.p

1 answer

If $\theta=\large\frac{\pi}{2^n+1}$ then $\cos \theta\cos 2\theta\cos 2^2\theta......\cos2^{n-1}\theta$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

If $\tan^2\theta=2\tan^2\phi+1$ then $\cos 2\theta+\sin^2\phi$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

The value of $\large\frac{\cos\theta}{1+\sin\theta}$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

A barometer tube reads $76\;cm$ of mercury. If the tube in gradually inclined at an angle of $60^{\circ}$ with vertical , keeping the open end immersed , in mercury reservoir, the length of the mercury column will be

asked Oct 4, 2013 by meena.p

1 answer

The value of $\sin(n+1)A\sin(n+2)A+\cos(n+1)A\cos(n+2)A$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

The value of $\cos(45^{\circ}-A)\cos(45^{\circ}-B)-\sin(45^{\circ}-A)\sin(45^{\circ}-B)$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

Which one is not periodic

asked Oct 4, 2013 by sreemathi.v

1 answer

The number of solution of $\tan x+\sec x=2\cos x$ in $[0,2\pi]$ is

asked Oct 4, 2013 by sreemathi.v

1 answer

Let $f(\theta)=\sin \theta(\sin \theta+\sin 3\theta)$.Then $f(\theta)$ is

asked Oct 4, 2013 by sreemathi.v

1 answer

For a given material , The young's modulus is 2.4 times that of rigidity modulus. It's Poisson's ratio is ::

asked Oct 4, 2013 by meena.p

1 answer

The Comprehensibility of water is $5 \times 10^{-10}\;m^2/N$. It is subjected to a pressure of $15\;M\;pa$. The fraction decrease in volume will be

asked Oct 4, 2013 by meena.p

1 answer

The volume of solid rubber ball when it is carried from surface of 200 m deep lake decreases by $0.1\%$ The value for bulk modulus elasticity of rubber will be

asked Oct 4, 2013 by meena.p

1 answer

A steel wire of uniform cross- section of $2\;mm^2$ is heated upto $50^{\circ}$ and clamped rigidly at two ends. If the temperature of wire falls to $30^{\circ}$ then change in tension in wire will be , if coefficient of linear expansion of steel is $1.1 \times 10^{-5}/ ^{\circ} C$ and $Y=2 \times 10^{11} N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

Work done in increasing the length of $1\;m$ long wire of cross-sectional area $1\;mm^2$ through $1\;mm$ is $y=2 \times 10^{11}N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

The bulk modulus of elasticity of helium at 1 atmospheric pressure, assuming variation of pressure and volume is adiabatic, is

asked Oct 3, 2013 by meena.p

1 answer

A wire breaks when subjected to a stress S. If $\rho$ is the density of the material of wire, then the length of the wire. So that it breaks by its own weight is

asked Oct 3, 2013 by meena.p

1 answer

The elastic energy stored in a write of young's modulus Y is

asked Oct 2, 2013 by meena.p

1 answer

Water rises to a height of 20 mm in a capillary . If the radius of the capillary is made $\large\frac{1}{3}$rd of its precious is made then what is the new value of the capillary rise?

asked Oct 2, 2013 by meena.p

1 answer

A tank filled with water has a hole at a certain height from its bottom. The volume of water emerging out per second from the hole does not depend on

asked Oct 2, 2013 by meena.p

1 answer

$8^n-7n-1$ is divisible by ? where $n\in N$

asked Oct 1, 2013 by rvidyagovindarajan_1

1 answer

The coefficients of $x^p$, and $x^q$ in the expansion of $(1+x)^{p+q}$ are

asked Sep 26, 2013 by rvidyagovindarajan_1

1 answer

The sum of coefficients of odd powers of $x$ in the expansion $(1+x)^{50}$ is ?

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

The no. of terms in the expansion $(x+y+z)^{10}$ is ?

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

If the coefficient of $(2r+4)^{th}$ and $(r-2)^{th}$ terms in the expansion of $(1+x)^{18} $ are equal, then $r=?$

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

If the coefficient of $x^2$ and $x^3$ in the expansion of $(3+ax)^9$ are same, then the value of $a$ is ?

asked Sep 19, 2013 by rvidyagovindarajan_1

1 answer

The middle term in the expansion $(1+x)^{2n}$ is ?

asked Sep 19, 2013 by rvidyagovindarajan_1

1 answer

The term independent of $x$ in the expansion $(2x-\large\frac{1}{3x})^6$ is ?

asked Sep 17, 2013 by rvidyagovindarajan_1

1 answer

If $x=\large\frac{1}{3}$, the greatest term in the expansion of $(1+4x)^8$ is ?

asked Sep 17, 2013 by rvidyagovindarajan_1

1 answer

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