Find the centre and radius of the circle in which the plane intersects the sphere
None of these
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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