A plane passing through cuts positive direction of coordinate axes at and

MATHEMATICS · Single correct · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A plane passing through

(1, 1, 1)

cuts positive direction of coordinate axes at

A, B

and

C

, then the volume of tetrahedron

OABC

satisfies (1)

V \le \frac{9}{2}

(2)

V \ge \frac{9}{2}

(3)

V = \frac{9}{2}

(4) None of these