Home
Class 12
MATHS
Find the equation the equation of spher...

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

Text Solution

Verified by Experts

The correct Answer is:
`2x^(2)+2y^(2)+2z^(2)-6x+2y-4z=25`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|96 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The equation of the sphere concentric with the sphere 2x^2+2y^2+2z^2-6x+2y-4z=1 and double its radius is (A) x^2+y^2+z^2-x+y-z=1 (B) x^2+y^2+z^2-6x+2y-4z=1 (C) 2x^2+2y^2+2z^2-6x+2y-4z-15=0 (D) 2x^2+2y^2+2z^2-6x+2y-4z-25=0

Find the equation of the circle concentric with the circle 2x^2 + 2y^2 - 6x + 8y+1=0 and of double its area.

Find the equation.of the circle concentric with the x^(2)+y^(2)+4x-8y-6=0 and having radius double of its radius.

Find the equation of a circle concentric with the circle 2x ^(2) + 2y ^(2) - 6x + 8y + 1 = 0 and of double its area.

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Find the equation of the sphere which touches the sphere x^(2)+y^(2)+z^(2)+2x-6y+1=0 at (1,2,-2) and pass through the origin

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

What is the radius of the sphere x^2+y^2+z^2-x-y-z=0 ?

What is the radius of the sphere x^2+y^2+z^2-6x+8y-10z+1=0 ?