Q.
State $T$ for true and $F$ for false.
(i) The $y$-axis and $z$-axis, together determine a plane known as $yz$-plane.
(ii) The point $(4, 5, -6)$ lies in the $VI^{th}$ octant.
(iii) Three mutually perpendicular planes divide the space into $8$ octants.
(iv) The equation of the plane $z = 6$ represent a plane parallel to the $xy$-plane, having a $z$-intercept of $6$ units.
(i)
(ii)
(iii)
(iv)
(a)$\,\,\,\,$
F $\,\,\,\,$
F$\,\,\,\,$
T$\,\,\,\,$
T$\,\,\,\,$
(b)
T
T
F
F
(c)
T
F
F
F
(d)
T
F
T
T
| (i) | (ii) | (iii) | (iv) | |
|---|---|---|---|---|
| (a)$\,\,\,\,$ | F $\,\,\,\,$ | F$\,\,\,\,$ | T$\,\,\,\,$ | T$\,\,\,\,$ |
| (b) | T | T | F | F |
| (c) | T | F | F | F |
| (d) | T | F | T | T |
Introduction to Three Dimensional Geometry
Solution: