Rs Aggrawal 2020 2021 Solutions for Class 6 Maths Chapter 11 Line Segment, Ray And Line are provided here with simple step-by-step explanations. These solutions for Line Segment, Ray And Line are extremely popular among Class 6 students for Maths Line Segment, Ray And Line Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggrawal 2020 2021 Book of Class 6 Maths Chapter 11 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggrawal 2020 2021 Solutions. All Rs Aggrawal 2020 2021 Solutions for class Class 6 Maths are prepared by experts and are 100% accurate.

Page No 166:

Answer:

(i)  The line segments are
YX ¯This is because it has two end points Y and X.YZ ¯ This is because it has two end points Y an Z.

(ii)  
AD¯This is because it has two end points A and D.AB¯ This is because it has two end points A and B.AC¯ This is because it has two end points A and C.AE¯ This is because it has two end points A and E.DB¯ This is because it has two end points B and D.BC¯ This is because it has two end points B and C.CE¯ This is because it has two end points C and E.

(iii)
PS¯ This is because it has two end points P and S.PQ¯ This is because it has two end points P and Q.QR¯ This is because it has two end points Q and R.RS¯ This is because it has two end points R and S.PR¯ This is because it has two end points P and R.QS¯ This is because it has two end points Q and S.

Page No 166:

Answer:

(i)  Line segment is AB¯. This is because it has two end points A and B.
Rays are:
AC This is because it has only one end point A.BD This is because it has only one end point B.


(ii) Line segments are:
EP¯  This is because it has two end points Eand P.EG¯ This is because it has two end points E and G.GP¯ This is because it has two end points G and P.

Rays are:
EF This is because it has only one end point, i.e. E.GH This is because it has only one end point, i.e. G.PQ This is because it has only one end point, i.e. P.

(iii) Line segments are:
OL¯ This is because it has two end points O and L.OP¯ This is because it has two end points O and P.

Rays are:
LM This is because it has only one end point, i.e. L.PQ  This is because it has only one end point, i.e. P.



Page No 167:

Answer:

(i)
PR¯ This is because it has two end points P and R.QS¯ This is because it has two end points Q and S.PQ¯ This is because it has two end points P and Q.RS¯ This is because it has two end points R and S.


(ii)
PA This is because it has only one end point, i.e. P.RB This is because it has only one end point, i.e. R.QC This is because it has only one end point, i.e. Q.SD This is because it has only one end point, i.e. S.

(iii)
PR ¯and QS¯ are the two non-intersecting line segments as they do not have any point in common.

Page No 167:

Answer:

 COLLINEAR POINTS :
 Three or more points in a plane are said to be collinear if they all lie in the same line. This line is called the line of collinearity for the given points.

(i) We can draw only one line passing through three collinear points.

(ii) 3 Line segments are:
AB¯ This is because it has two end points A and B.BC¯ This is because it has two end points B and C.AC¯ This is because it has two end points A and C.

Page No 167:

Answer:

(i)
PS and AB  intersecting at S.CDand RS intersecting at R.PS and CD intersecting at P.AB and RS intersecting at S.

(ii) A, Q, S and B are four collinear points as they all lie on the same line AB .

(iii) A, C and B are non-collinear points as they do not lie on the same line. 

(iv)

PS , RS and AB are three concurrent lines passing through the same point S.

(v)

PS , PQ and CD have common point of intersection P.

Page No 167:

Answer:

Taking points A and B, we can draw only one line AB .
Taking points B and C, we can draw only one line BC .
Taking points A and C, we can draw only one line AC .
We can draw only three lines through these non-collinear points A ,B and C.

Page No 167:

Answer:

(i) There are 6 line segments. These are:
AB¯ (with end points A and B)AC¯ (with end points A and C)AD¯ (with end points A and D)BC¯ (with end points B and C)BD¯ (with end points B and D)CD¯ (with end points C and D)

(ii) There are 10 line segments. These are:
AB¯  (with end points A and B)BC ¯ (with end points B and C)CD¯  (with end points C and D)AD¯  (with end points A and D)AC¯  (with end points A anc C)BD ¯ (with end points B and D)AO ¯ (with end points A and O)CO¯  (with end points C and O)BO¯  (with end points B and O)DO¯  (with end points D and O)

(iii) There are 6 line segments. They are:
AB¯, AF¯, FB¯, EC¯, ED¯, DC¯

(iv) There are 12 line segments. They are:
AB¯, AD¯, AE¯BC¯, BF¯ CG¯, CD¯HG¯, HE¯ , DH¯EF¯, GF¯

Page No 167:

Answer:

(i) False
M is outside ray NQ.

(ii) True
L is placed between M and P.

(iii) True
Ray MQ is extended endlessly from M to Q and ray NQ is extended endlessly from N to Q.

(iv) True

(v) True
  LP is extended endlessly from L to P.LQ is extended endlessly from L to Q.



Page No 168:

Answer:

(i)  False
A point does not have any length, breadth or thickness.

(ii)   False
A line segment has a definite length.

(iii) False
A ray has no definite length.

(iv) False
Ray AB has initial point A and is extended endlessly towards B, while ray BA has initial point B and is extended endlessly towards A.

(v) True
This is because both the line segments have definite length with end points A and B.

(vi)  True
This is because it neither has a definite length nor any end point.

(vii) True
Only one line segment can pass through the two given points.

(viii) True

(ix) False
Two intersecting planes intersect at a line.

(x) False
Different set of collinear points need not be collinear.


(xi) False
    With point P, endless rays (like PA, PB, PC, PD, PE, PF) can be drawn.


(xii) True
Two points define one unique line.
(xiii) True

Page No 168:

Answer:

 (i) definite
(ii) one
(iii) no
(iv) definite
(v) cannot

Page No 168:

Answer:

(c) A line does not have any end point. It is a line segment that is extended endlessly on both sides.

Page No 168:

Answer:

(b) A ray has one end point, which is called the initial point. It is extended endlessly towards the other direction.

Page No 168:

Answer:

(a) A line segment has two end points and a definite length that can be measured.

Page No 168:

Answer:

(b) A line segment has a definite length that can be measured by a ruler and, therefore, it can be drawn on a paper.

Page No 168:

Answer:

(b) A line segment has a definite length that can be measured by a ruler. So, it can be drawn on a paper.

Page No 168:

Answer:

(d) Unlimited number of lines can be drawn.

Page No 168:

Answer:

(a) Only one line can be drawn that passes through two given points.

Page No 168:

Answer:

(c)  Two intersecting planes intersect in a line.

Page No 168:

Answer:

(a) Two lines intersect at a point.



Page No 169:

Answer:

(a) exactly one line segment

Two points in a plane determine exactly one line segment with those two points as its end points.

Page No 169:

Answer:

(d) 0
Three lines will not necessarily intersect in a plane. Thus, the minimum point of intersection will be 0.

Page No 169:

Answer:

(d) 3

The maximum number of points of intersection of three lines that intersect in a plane are three.

Page No 169:

Answer:

(c) Every line segment has a definite length.

Every line segment has a definite length, which can be measured using a ruler.

Page No 169:

Answer:

(b) Ray AB is same as ray BA 
This is because the initial points in these rays are A and B, respectively, and are extended endlessly towards B and A, respectively.

Page No 169:

Answer:

(c) An unlimited number of rays can be drawn with a given point as the initial point. For example:



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