NCERT MCQ FOR INTRODUCTION TO ELUCID’S GEOMETRY
Question 1.
The number of dimensions, a solid has:
(a) 1
(b) 2
(c) 3
(d) 0
Answer: (c) 3
Question 2.
The total number of propositions in the elements are:
(a) 465
(b) 460
(c) 13
(d) 55
Answer: (a) 465
Question 3.
In Indus valley civilisation (about 3000 BC), the bricks used for construction work were having dimensions in the ratio
(a) 1 : 3 : 4
(b) 4 : 2 : 1
(c) 4 : 4 : 1
(d) 4 : 3 : 2
Answer: (b) 4 : 2 : 1
Question 4.
The things which are double of same thing are
(a) equal
(b) halves of same thing
(c) unequal
(d) double of the same thing
Answer: (a) equal
Question 5.
Which of the following statements is incorrect?
(а) A line segment has definite length.
(b) Three lines are concurrent if and only if they have a common point.
(c) Two lines drawn in a plane always intersect at a point.
(d) One and only one line can be drawn passing through a given point and parallel to a given line.
Answer: (c) Two lines drawn in a plane always intersect at a point.
Question 6.
Select the wrong statement:
(а) Only one line can pass through a single point.
(b) Only one line can pass through two distinct points.
(c) A terminated line can be produced indefinitely on both the sides.
(d) If two circles are equal, then their radii are equal.
Answer: (а) Only one line can pass through a single point.
Question 7.
Which one of the following statements is true?
(a) Only one line can pass through a single point.
(b) There are an infinite number lines which pass through two distinct points.
(c) Two distinct lines cannot have more than one point in common.
(d) If two circles are equal, then their radii are not equal.
Answer: (c) Two distinct lines cannot have more than one point in common.
Question 8.
If the point P lies in between M and N and C is mid point of MP, then:
(a) MC + PN = MN
(b) MP + CP – MN
(c) MC + CN = MN
(d) CP + CN = MN
Answer: (c) MC + CN = MN
Question 9.
‘Lines are parallel if they do not intersect’ is stated in the form of:
(a) an axiom
(b) a definition
(c) a postulate
(d) a proof
Answer: (b) a definition
Question 10.
Two planes intersect each other to form a:
(a) plane
(b) point
(c) straight line
(d) angle
Answer: (c) straight line
Question 11.
The number of lines that can pass through a given point is
(a) two
(b) none
(c) only one
(d) infinitely many
Answer: (d) infinitely many
Question 12.
How many lines do pass through two distinct points?
(a) 1
(b) 2
(c) 3
(d) 4
Answer: (a) 1
Question 13.
The number of line segments determined by three collinear points is:
(a) two
(b) three
(c) only one
(d) four
Answer: (b) three
Question 14.
Number of dimension(s) a surface has:
(a) 0
(b) 1
(c) 2
(d) 3
Answer: (c) 2
Question 15.
Euclid stated that things which are equal to the same thing are equal to one another in the form of:
(a) an axiom
(b) a definition
(c) a postulate
(d) a proof
Answer: (a) an axiom
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