The line meets the plane at the point and the sphere at the points and

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

The line

x = y = z

meets the plane

x + y + z = 1

at the point

P

and the sphere

x^2 + y^2 + z^2 = 1

at the points

R

and

S

, then (1)

PR + PS = 2

(2)

PR \times PS = \frac{2}{3}

(3)

PR = PS

(4)

PR + PS = RS

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