Find The Equation Of The Sphere Whose Centre Has The Position Vector and Which Touches The Plane

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Question

Find the equation of the sphere whose centre has the position vector and which touches the plane

None of these

easy

Solution

Correct option is

P.V. of the centre =

The given plane is

Radius of sphere =

Or

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SIMILAR QUESTIONS

Q1

Find the equation of the sphere whose centre is (2, – 3, 4) and radius 5.

easy View solution

Q2

Find the centre and radius of the sphere

medium View solution

Q3

Find the centre and radius of the sphere

medium View solution

Q4

Find the centre and radius of the sphere

easy View solution

Q5

Find the equation of the sphere concentric with the sphere

and double its radius.

medium View solution

Q6

A point P(x, y, z) is such that 3PA = 2PB, where A and B are the points (1, 3, 4) and (1, – 2, –1) respectively. Find the equation of the locus of the point P and show that the locus is a sphere.

medium View solution

Q7

Find the value of for which the plane touches the sphere

easy View solution

Q8

Find the radius of the circular section of the sphere by the plane

diffcult View solution

Q9

Find the centre and radius of the circle in which the plane intersects the sphere

diffcult View solution