Consider the spheres `x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0`.
What is the distance between the centres of the two spheres?

Consider the spheres x^2+y^2+z^2-4y+3=0 and x^2+y^2+z^2+2x+4z-4=0 What is the distance between the centres of the two spheres ?

Consider the spheres x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0 . Consider the following statements : 1. The two spheres intersect each other. 2. The radius of first sphere is less than that of second sphere. Which of the above statements is/are correct?

Consider the spheres x^2+y^2+z^2-4y+3=0 and x^2+y^2+z^2+2x+4z-4=0 Consider the following statements I. The two spheres intersect each other II. The radius of first sphere is less than that of second sphere. Which one of the above statement(s) is/are correct

Consider the spheres x^2+y^2+z^2-4y+3=0 and x^3+y^2+z^2+2x+4z-4=0 . A line passes through the points (6, -7, -1) and (2, -3, 1). What are the direction ratios of the line?

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane is a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1