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Recent questions tagged class11

If the angles $A,B,C$ of a $\Delta$le are in arithmetic progression and if $a,b$ and $c$ denote the lengths of the sides opposite to $A,B$ and $C$ respectively,then the value of the expression $\large\frac{a}{c}$$\sin 2C+\large\frac{c}{a}$$\sin 2A$ is

asked Oct 10, 2013 by sreemathi.v

1 answer

Find the area of the $\Delta$ if $a=18,b=24,c=30$

asked Oct 10, 2013 by sreemathi.v

1 answer

The maximum value of $3\cos\theta+4\sin\theta$ is

asked Oct 10, 2013 by sreemathi.v

1 answer

In $\Delta ABC$ $a=3,b=5,c=6$ find the value of $\sin\large\frac{A}{2}$

asked Oct 10, 2013 by sreemathi.v

1 answer

Evaluate $\sin^2\large\frac{\pi}{8}+$$\sin^2\large\frac{3\pi}{8}$$+\sin^2\large\frac{5\pi}{8}$$+\sin^2\large\frac{7\pi}{8}$

asked Oct 10, 2013 by sreemathi.v

1 answer

If $\large\frac{x}{\cos\theta}=\frac{y}{\cos(\theta+\large\frac{2\pi}{3})}=\frac{z}{\cos(\theta-\large\frac{2\pi}{3})}$ then $x+y+z$ is equal to

asked Oct 10, 2013 by sreemathi.v

1 answer

Find the value of $\tan\large\frac{\pi}{8}$

asked Oct 10, 2013 by sreemathi.v

1 answer

Evaluate $\sin(1560^{\large\circ})$

asked Oct 9, 2013 by sreemathi.v

1 answer

$\large\frac{1-\tan^2(45^{\large\circ}-A)}{1+\tan^2(45^{\large\circ}-A)}$ is equal to

asked Oct 9, 2013 by sreemathi.v

1 answer

Find the value of $\tan 22\large\frac{1}{2}^{\large\circ}$

asked Oct 9, 2013 by sreemathi.v

1 answer

A minute hand of a clock is 20cm long.How far does the tip of the hand move in 20 minutes.

asked Oct 9, 2013 by sreemathi.v

1 answer

Find $\cos 55^{\large\circ}+\cos 65^{\large \circ}+\cos 175^{\large\circ}$

asked Oct 9, 2013 by sreemathi.v

2 answers

The expression $\tan^2\alpha+\cot^2\alpha$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

Find the value of $\sin(105^{\large\circ})$

asked Oct 9, 2013 by sreemathi.v

1 answer

If $f(\theta)=(\sin\theta+cosec\theta)^2+(\cos\theta+\sec\theta)^2$ then minimum value of $f(\theta)$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

In a $\Delta ABC$ the value of the expression $cosec A(\sin B\cos C+\cos B\sin C)$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

The value of expression $\large\frac{1-4\sin 10^{\large\circ}\sin 70^{\large\circ}}{2\sin 10^{\large\circ}}$

asked Oct 9, 2013 by sreemathi.v

1 answer

The value of the expression $(\sqrt 3\sin 75^{\large\circ}-\cos 75^{\large\circ})$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

If $\alpha\cos^23\theta+\beta\cos^4\theta=16\cos^6\theta+9\cos^2\theta$ is an identity then

asked Oct 9, 2013 by sreemathi.v

1 answer

If $\tan\alpha=\large\frac{x}{x+1}$ and $\tan \beta=\large\frac{1}{2x+1}$ then $\alpha+\beta$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

If $\tan x=\large\frac{b}{a}$ then the value of $a\cos 2x+b\sin 2x$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

The value of $\tan 81^{\large \circ}-\tan 63^{\large\circ}-\tan 27^{\large\circ}+\tan 9^{\large \circ}$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

If $cosec A+\cot A=\large\frac{11}{2}$ then $\tan A$ is

asked Oct 9, 2013 by sreemathi.v

1 answer

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

asked Oct 9, 2013 by sreemathi.v

1 answer

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

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

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

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

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

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

If $\sin x+\sin^2x=1$ then $\cos^8x+2\cos^6x+\cos^4x$ is equal to

asked Oct 8, 2013 by sreemathi.v

1 answer

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

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