﻿ Find the radius of the circular section of the sphere  by the plane                    : Kaysons Education

# Find The Radius Of The Circular Section Of The Sphere  by The Plane

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## Question

### Solution

Correct option is

4

The equation of the sphere is

∴   Centre and radius of the sphere are (0, 0, 0) and 5 respectively.

The equation of the plane is

OA = length of perpendicular from the origin to the plane

∴ Given plane intersects the sphere.

∴  Radius of the circular section of the sphere is 4.

#### SIMILAR QUESTIONS

Q1

Find the centre and radius of the sphere

Q2

Find the equation of the sphere concentric with the sphere

Q3

A point P(x, y, z) is such that 3PA = 2PB, where 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.

Q4

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

Q5

Find the value of  for which the plane  touches the sphere

Q6

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

Q7

Find the equation of the sphere passing through the points (0, 0, 0), (–1, 2, 0), (0, 1, –1) and (1, 2, 5).

Q8

Find the equation of the sphere which passes through the points (1,–3, 4), (1, –5, 2), (1, –3, 0) and has its centre on the plane x + y + z = 0.