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

# Find The Centre And Radius Of The Circle In Which The Plane  intersects The Sphere

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## Question

### Solution

Correct option is

The sphere is .

Centre = (–1, 1, 2) and radius = 5.

The plane is

CA = length of perpendicular from C(–1, 1, 2) to the plane

= 4 < radius of sphere

∴ Given plane intersects the sphere.

∴ Radius of circle with centre at A = 3.

AC is normal to the given plane.

∴ D.r.’s of AC are 1, 2, 2. AC passes through C(–1, 1, 2).

Let the coordinates of A be (

Since, A lies on the plane, we have (

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