Mahabir Singh Solutions for Chapter: Introduction to Euclid’s Geometry, Exercise 2: ACHIEVERS SECTION (HOTS)

Fill in the blanks.
( $\mathrm{i}$) Two lines in a plane not having any point common are called P lines.
( $\mathrm{i}\mathrm{i}$) The edges of a surface are Q .
( $\mathrm{i}\mathrm{i}\mathrm{i}$) Two distinct planes can intersect at R points.
( $\mathrm{i}\mathrm{v}$) S planes can pass through two distinct points.
         P           Q             R                         S
(A) Parallel    lines         Infinite              infinite
(B) Parallel    planes          one                 one
(C) Perpendicular  lines    one          zero
(D) Perpendicular  planes   infinite   infinite

State ‘T’ for true and ‘F’ for false:
( $\mathrm{i}$) ‘There are infinite points on a line’ is an Euclidean postulate.
( $\mathrm{i}\mathrm{i}$) Only one plane passes through three non-collinear points.
( $\mathrm{i}\mathrm{i}\mathrm{i}$) Boundaries of solids are surfaces.
     (i) (ii) (iii)
(A) F  F  F
(B) T  T  F
(C) T  F  T
(D) F  T  T

Which of the following statements is CORRECT?