The plane passing through the point and containing the line joining the points and…

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

The plane passing through the point

(-2, -2, 2)

and containing the line joining the points

(1, 1, 1)

and

(1, -1, 2)

makes intercepts of lengths

a, b, c

respectively on the axes of

x, y

and

z

respectively, then (1)

a = 3b

(2)

b = 2c

(3)

a + b + c = 12

(4)

a + 2b + 2c = 0