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Recent questions tagged exercise2-11

Show that diameter of a sphere subtends a right angle at a point on the surface.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the centre and radius of the following spheres: $\overrightarrow{r}^{2}-\overrightarrow{r} . (\overrightarrow{4i}+\overrightarrow{2j}-\overrightarrow{6k})-11=0$

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the centre and radius of the following spheres :$x^{2}+y^{2}+z^{2}+4x-8x+2z=5$

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the centre and radius of the following spheres : $|\overrightarrow{2r}+(\overrightarrow{3i}-\overrightarrow{j}+\overrightarrow{4k})|=4$

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the centre and radius of the following spheres : $| \overrightarrow{r}-(\overrightarrow(2i)-\overrightarrow(j)+\overrightarrow{4k})|=5$

asked Apr 9, 2013 by poojasapani_1

1 answer

If $A (-1 , 4 , -3 ) $ is one end of a diameter $AB$ of the sphere $ x^{2}+y^{2}+z^{2}-3x-2y+2z-15=0$ than, Find the coordinates of $B$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Obtain the vector and cartesian equation of thesphere whose centre is $(1 , -1 , 1 )$ and radius is the same as that of the sphere $|\overrightarrow{r}-(\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{2k})|=5.$

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equationof the sphere on the join of the points $A$ and $B$ having position vectors $\overrightarrow{2i}+\overrightarrow{6j}-\overrightarrow{7k}$ and $-\overrightarrow{2i}+\overrightarrow{4j}-\overrightarrow{3k}$ respectively as a diameter . Find also the centre and radius of the sphere.

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector equation of a sphere with centre having position vector $\overrightarrow{2i}-\overrightarrow{j}+\overrightarrow{3k}$ and radius $4$ units. Also find the equation in cartesian form.

asked Apr 8, 2013 by poojasapani_1

1 answer

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