Home
Class 12
MATHS
The plane x+2y-z=4 cuts the sphere x^(2)...

The plane `x+2y-z=4` cuts the sphere `x^(2)+y^(2)+z^(2)-x+z-2=0` in a circle of radius

A

`PR+PS=2`

B

`PRtimesPS=(2)/(3)`

C

`PR=PS`

D

`PR+PS=RS`

Text Solution

Verified by Experts

The correct Answer is:
(a, b, d)
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x-12y-2z+20=0 , then the coordinates of the other end of the diameter are

Find the centre and radius of the sphere 2x^2+2y^2+2z^2-2x+4y+2z+3=0 .

Find the equation the equation of sphere cocentric with sphere 2x^2+2y^2+2z^2-6x+2y-4z=1 and double its radius.

The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0 is cut by the plane x+2y+2z+7=0 is

Find the value of lambda for which the plane x+y+z=sqrt(3)lambda touches the sphere x^2+y^2+z^2-2x-2y-2z=6.

If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line joining the centre of the spheres x^(2)+y^(2)+z^(2)+6x-8y-2z=13 and x^(2)+y^(2)+z^(2)-10x+4y-2z=8 , then alpha equals

The equation of line passing through the point (-4,3,1) parallel to the plane x + 2y-z-5 = 0 and intersect the lien (x+1)/(-3) = (y-3)/(2) = (z-2)/(-1) is.......

If the angle theta between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and the plane 2x-y+sqrt(lambda)z+4=0 is such that sintheta=(1)/(3) . The value of lambda is

If x > 0, y > 0, z>0 and x + y + z = 1 then the minimum value of x/(2-x)+y/(2-y)+z/(2-z) is