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Recent questions tagged p38

A variable plane is at constant distance p from the origin and meet the axes in A, B & C. Show that the locus of the centroid of the tetrahedron $\bigtriangleup ABC\;is\; \Large\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{16}{p^2}$

asked Feb 5, 2013 by meena.p

1 answer

A variable plane which remains at a constant distance 3p from the origin cuts the co-ordinate axes at A, B & C. Show that the locus of the centroid of the $ \bigtriangleup ABC\;is\; \Large\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{1}{p^2}$

asked Feb 5, 2013 by meena.p

1 answer

A line makes angles $\alpha,\beta,\gamma\;and\;\delta$ with the four diagonals of a cube. Prove that $ \cos ^2 \alpha+\cos ^2\beta+\cos ^2 \gamma+\cos ^2 \delta=\Large\frac{4}{3}$

asked Feb 5, 2013 by meena.p

0 answers

Find the distance of the point (2,3,4) from the line $\Large\frac{x+3}{3}=\frac{y-2}{6}=\frac{z}{2}$ measured parallel to the plane 3x+2y+2z+5 = 0

asked Feb 5, 2013 by meena.p

0 answers

Find the distance of the point (1,-2,3) from the plane x-y+z = 5 measured parallel to the line $ \Large\frac{x+1}{2}=\frac{y+3}{2}=\frac{z+1}{-6}$

asked Feb 5, 2013 by meena.p

0 answers

Find the reflection of the point (1,2,-1) in the plane 3x-5y+4z = 5

asked Feb 5, 2013 by meena.p

0 answers

Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y = 0 and 3y -z = 0

asked Feb 5, 2013 by meena.p

0 answers

Find the vector equation of the plane through the intersection of the planes $ \bar{r}. (2\bar{j}+6\bar{j})+12=0$ & $ \bar{r}.(3\bar{i}-\bar{j}+4\bar{k})=0$ which are at a unit distance from the origin.

asked Feb 5, 2013 by meena.p

0 answers

Find the shortest distance between two lines whose vector equations are $ \overrightarrow{r}=(1-t)i+(t-2) \bar{j}+(3-2t) \bar{k} $ and $ \overrightarrow{r}=(s+1) \bar {i}+(2s-1)\bar {j}-(2s+1) \bar {k}$

asked Feb 5, 2013 by meena.p

0 answers

Find the values of P so that the lines $ \Large\frac{1-x}{3}=\frac{7y-14}{2p}=\frac{z-3}{2}$ and $ \Large\frac{7-7x}{3p}=\frac{y-5}{1}=\frac{6-z}{5}$ are at right angles.

asked Feb 5, 2013 by meena.p

1 answer

If $\sin^{-1}\frac{2a}{1+a^2} +\cos^{-1}\frac{1-a^2}{1+a^2}=\tan^{-1}\frac{2x}{1-x^2},where\; a,x,\in\;[0,1],$then the value of x is

asked Dec 21, 2012 by sreemathi.v

1 answer

If $\tan^{-1}x+\tan^{-1}y=\frac{4\pi}{5},then\;\cot^{-1}x+\cot^{-1}y$ equals:

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of the expression $2\sec^{-1}2+\sin^{-1}\frac{1}{2}$ is:

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\cos^{-1}\bigg(\cos\frac{3\pi}{2}\bigg)$ is equal to:

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\sin(\tan^{-1}(.75))$ is equal to

asked Dec 20, 2012 by sreemathi.v

1 answer

If $\cos\bigg(\sin^{-1}\frac{2}{5}+\cos^{-1}x\bigg)=0$,then x is equal to

asked Dec 20, 2012 by sreemathi.v

1 answer

The domain of the function defined by $f(x)=\sin^{-1}\sqrt{x-1}$ is

asked Dec 20, 2012 by sreemathi.v

1 answer

The domain of the function $\cos^{-1}(2x-1)$ is

asked Dec 20, 2012 by sreemathi.v

1 answer

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