RD SHARMA Solutions for Class 9 Maths Chapter 9 - Introduction to Euclid's Geometry
Page / Exercise
Chapter 9 - Introduction to Euclid's Geometry Exercise Ex. 9.1
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Write the truth value (T/F) of each of the following statements:
(i) Two lines intersect in a point.
(ii) Two lines may intersect in two points.
(iii) A segment has no length.
(iv) Two distinct points always determine a line.
(v) Every ray has a finite length.
(vi) A ray has one end-point only.
(vii) A segment has one end-point only.
(viii) The ray AB is same as ray BA.
(ix) Only a single line may pass through a given point.
(x) Two lines are coincident if they have only one point in common.
Solution 6
(i) False
(ii) False
(iii) False
(iv) True
(v) False
(vi) True
(vii) False
(viii) False
(ix) False
(x) False
Question 7
In fig., name the following:
(i) Five line segments.
(ii) Five rays.
(iii) Four collinear points.
(iv) Two pairs of non-intersecting line segments.
Solution 7
Question 8
Fill in the blanks so as to make the following statements true:
(i) Two distinct points in a plane determine a ______ line.
(ii) Two distinct ______ in a plane cannot have more than one point in common.
(iii) Given a line and a point, not on the line, there is one and only ______ line which passes through the given point and is ______ to the given line.
(iv) A line separates a plane into ______ parts namely the ______ and the _______ itself.
Solution 8
(i) unique
(ii) lines
(iii) perpendicular, perpendicular
(iv) three, two half planes, line.
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