# Joy of Mathematics Class 6 Solutions Chapter 12

## Joy of Mathematics Class 6 Solutions Chapter 12 Fundamental Geometrical Concepts

Welcome to NCTB Solution. Here with this post we are going to help 6th class students for the Solutions of Joy of Mathematics Class 6 Book, Chapter 12 Fundamental Geometrical Concepts. Here students can easily find step by step solutions of all the problems for Fundamental Geometrical Concepts. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Students will get chapter 12 solutions. Here students will find exercise wise solutions for chapter 12 Exercise 12.1, 12.2 and 12.3

Fundamental Geometrical Concepts Exercise 12.1 Solution :

Question no – (1)

Solution :

Example : – Line segment, Ray, Point

Question no – (2)

Solution :

Example : – Edges of book, edges of wall.

Question no – (3)

Solution :

A line contain Infinite points.

Question no – (4)

Solution :

(a) Infinite Lines.

(b) A line.

Question no – (5)

Solution :

(a) a line segment AB AB is a line segment.

(b) a ray AB AB is Ray.

(c) a ray BA BA is Ray.

(d) a line AB AB is line.

Question no – (6)

Solution :

(a) There are 3 line segments that’s are AB, BC, AC.

(b) Here, 5 line segments that’s are AB, BC, CD, AE, ED.

(c) There are 12 line segments that’s are.

Fundamental Geometrical Concepts Exercise 12.2 Solution :

Question no – (1)

Solution :

One line can be draw by three collinear points.

Question no – (2)

Solution : 3 lines can be draw.

Question no – (3)

Solution :

Maximum point of intersection = 6

Minimum point of intersection = 0

Question no – (4)

Solution : l, m, n, p are concurrent lines.

Question no – (5)

Solution :

(a) m || l, l || n, n || m.

Pairs of intersecting lines.

(b) q and r, q  and n, q and m, q and l, b and n, b and m, b and l, n and r, b and r.

(c) Concurrent lines (r, q, r) ; (r, l, b)

(d) All collinear points, (P, B, C) ; (D, E, F) ; (P, D) ; (B, E) ; (C, F)

Question no – (6)

Solution :

(a) Infinite

(b) Infinite

(c) One line.

Question no – (7)

Solution :

(a) Parallel lines

(b) Intersecting lines.

(c) Lines lying on each other.

Question no – (8)

Solution :

(a) Given statement is – False

(b) Given statement is – False

(c) Given statement is – False

(d) Given statement is – True

(e) Given statement is – False

(f) Given statement is – False

(g) Given statement is – True

(h) Given statement is – True

(i) Given statement is – False

Question no – (9)

Solution :

(b) (GE, MF) ; (JL, KI), (AD, GE).

Question no – (10)

Solution :

Example :- (Table ; Book)

Question no – (11)

Solution :

(a) Parallel lines :  l || m, o || n.

(b) Intersecting lines :  l and n, l and o, m and n, n and p, o and p, m and p, p and l.

(c) Perpendicular lines :  o ⊥ p, p ⊥ n.

Question no – (13)

Solution :

Open figure :

Closed figure : Square, Circle.

Question no – (14)

Solution :

Difference between square and Rectangle :

Major difference – a square has all sides are equal, and a rectangle has its opposite sides equal.

Question no – (15)

Solution :

No, we can’t.

Question no – (16)

Solution : Here, ABCD is square,

AC and BD are diagonals.

Question no – (17)

Solution :

Question no – (18)

Solution : The diagonals total ‘9’

= 6 (6 – 3)/2

= 6 × 3/2

= 9

Question no – (19)

Solution : Question no – (20)

Solution :

(a) Parallelogram.

(b) Kite.

Fundamental Geometrical Concepts Exercise 12.3 Solution :

Question no – (1)

Solution :

Figure – (a)

Name = Cube

Surface = Plane

Figure – (b)

Name = Cuboid

Surface = Plane

Figure – (c)

Name = Cone

Surface = Plane and Curved

Figure – (d)

Name = Cylinder

Surface = Plane and Curved

Figure – (e)

Name = Pyramid

Surface = Plane

Figure – (f)

Name = Prism

Surface = Plane

Question no – (3)

Solution :

L = 5 cm, b = 4 cm. h = 3 cm. Question no – (4)

Solution : Question no – (7)

Solution :

(a) Brick = Cuboid

(b) Torch cell = Cylinder

(c) Book = Cuboid

(d) Candle =  Cylinder

(e) Circular dustbin = Cylinder

(f) Water pipe = Cylinder

(g) Die = Cube

(h) Joker’s cap = Cone

(i) Room = Cuboid

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Updated: June 23, 2023 — 9:50 am