﻿ 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. : Kaysons Education

# 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.

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## Question

### Solution

Correct option is

We have         .

By the given condition, 3PA = 2PB.

This represents a sphere.

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