Find the equation of the sphere descr...

Find the equation of the sphere described on the joint of points `Aa n dB` having position vectors `2 hat i+6 hat j-7 hat ka n d-2 hat i+4 hat j-3 hat k ,` respectively, as the diameter. Find the center and the radius of the sphere.

Text Solution

AI Generated Solution

Topper's Solved these Questions

THEORY OF EQUATIONS
CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane passing through the points having position vectors hat i+ hat j-2 hat k ,2 i - hat j+ hat ka n d hat i+2 hat j+ hat kdot

Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8 hat k are collinear.

If the vectors 3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k are orthogonal, find mdot

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k are parallel find the value of mdot

Find the cosine of the angle between the vectors 4 hat i-3 hat j+3 hat k\ a n d\ 2 hat i- hat j- hat kdot

Write the position vector of a point dividing the line segment joining points having position vectors hat i+ hat j-2 hat k\ a n d\ 2 hat i- hat j+3 hat k externally in the ratio 2:3.

Prove that the points having position vectors hat i+2 hat j+3 hat k ,\ 3 hat i+4 hat j+7 hat k ,\ -3 hat i-2 hat j-5 hat k are collinear.

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions

Find the equation of a plane containing the lines (x-5)/(4)=(y-7)/(4)=...
Text Solution
|
Find the equation of the plane passing through the points (1,0,-1)a...
Text Solution
|
Find the equation of the sphere described on the joint of points Aa...
Text Solution
|
Find the radius of the circular section in which the sphere | vec r|...
Text Solution
|
Find the equation of a sphere which passes through (1,0,0)(0,1,0)a ...
Text Solution
|
Find the locus of a point which moves such that the sum of the squares...
Text Solution
|
Find the equation of the sphere which has centre at the origin and tou...
Text Solution
|
Find the equation of the sphere which passes through (1,0,0),(0,1,0)...
Text Solution
|
Find the equation of a sphere whose centre is (3,1,2) radius is 5.
Text Solution
|
Find the equation of the sphere passing through (0,0,0),(1,0,0),(0,1...
Text Solution
|
Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plan...
Text Solution
|
Find the equations of the bisectors of the angles between the plane...
Text Solution
|
If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-...
Text Solution
|
A sphere of constant radius k passes through the origin and meets the ...
Text Solution
|
A variable plane passes through a fixed point (a ,b ,c) and cuts th...
Text Solution
|
Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+...
Text Solution
|
If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...
Text Solution
|
If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...
Text Solution
|
If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...
Text Solution
|
Find the distance of the point P(a ,b ,c) from the x-axis.
Text Solution
|