Ncert Solutions For Class 6 Maths Ex 4.1

Ncert Solutions For Class 6 Maths Chapter 4 Ex 4.1

Question 1:

Answer according to the figure given below

1

(a) A line

(b) Four rays

(c) Five points

(d) Five line segments

Answer:

(a) \(\overleftrightarrow{CE}\)

(b) \(\overrightarrow{AC}\), \(\overrightarrow{AB}\), \(\overrightarrow{AD}\), \(\overrightarrow{AE}\)

(c) Five points are A, B, C, D and E.

(d) \(\bar{ED}\),\(\bar{DA}\), \(\bar{AC}\), \(\bar{AB}\), \(\bar{CD}\)

 

Question 2

Name all the possible (twelve) lines choosing only two letters at a time from the figure given below.

4

Answer

\(\overleftrightarrow{PQ}\), \(\overleftrightarrow{QR}\), \(\overleftrightarrow{RS}\), \(\overleftrightarrow{QP}\), \(\overleftrightarrow{RQ}\), \(\overleftrightarrow{SR}\), \(\overleftrightarrow{PS}\), \(\overleftrightarrow{SP}\), \(\overleftrightarrow{PR}\), \(\overleftrightarrow{RP}\), \(\overleftrightarrow{QS}\), \(\overleftrightarrow{SQ}\)

 

 

Question 3

Answer according to the figure

3

(a) Line passing through A.

(b) Line containing point D.

(c) Two pairs of intersecting lines.

(d) Line on which X lies.

Answer

(a) \(\overleftrightarrow{AD}\)

(b) \(\overleftrightarrow{AD}\)

(c) \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{XY}\), \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{ED}\).

(d) \(\overleftrightarrow{XY}\)

 

Question 4

How many lines can pass through (i) one point (ii) two points?

Answer

(i) There are infinite lines which can pass through one point.

(ii) There is only one line which can pass through two given points.

 

Question 5

Draw figures with label according to the information given below

(a) Point X lies on\(\bar{YZ}\).

(b) \(\overleftrightarrow{AB}\) and \(\overleftrightarrow{CD}\) intersect at O.

(c) Line m contains X and Y but not A.

(d) \(\overleftrightarrow{TP}\) and \(\overleftrightarrow{TS}\) meet at T.

Answer

 

(a)

4

(b)

5

(c)

6

(d)

7

 

Question 6

Consider the figure given below and answer whether the following statements are true or false.

(a) T, Q, O, P, S are points lying on the line \(\overleftrightarrow{QP}\).

(b) Q, O and P are points on \(\bar{QP}\).

(c) Q and P are end points of \(\bar{QP}\).

(d) O and P are end points on \(\bar{OS}\).

(e) Q is one of the end points of \(\bar{TO}\).

(f) Q is point on \(\vec{OS}\).

(g) Ray OS is different from \(\vec{TS}\).

(h) Ray OS is same as \(\vec{OQ}\).

(i) Ray OQ is not opposite to \(\vec{OS}\).

(j) O is not an initial point of \(\vec{OS}\).

(k) P is the initial point of \(\vec{PS}\) and \(\vec{PQ}\).

Answer

(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True

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