NCERT Solutions for Class 6 Maths Exercise 4.1

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NCERT solutions for Maths Basic geometrical ideas Download as PDF

NCERT Solutions for Class 6 Maths Exercise 4.1

NCERT Solutions for Class 6 Maths Basic geometrical ideas

Class –VI
Mathematics
(Ex. 4.1)
Question 1.Use the figure to name:

(a)Five points

(b)A line

(c)Four rays

(d)Five line segments

Answer:

(a) Five points are: O, B, C, D, E

(b) A line: {tex}\overline {{\text{DE}}} ,{/tex}{tex}\overline {{\text{DB}}} ,{/tex}{tex}\overline {{\text{OE}}} ,{/tex}{tex}\overline {{\text{OB}}} {/tex}

(c) Four rays: {tex}\overrightarrow {{\text{OD}}} ,{/tex}{tex}\overrightarrow {{\text{OE}}} ,{/tex}{tex}\overrightarrow {{\text{OC}}} ,{/tex}{tex}\overrightarrow {{\text{OB}}} {/tex}

(d) Four line segments: {tex}\overline {{\text{DE}}} ,{/tex}{tex}\overline {{\text{OE}}} ,{/tex}{tex}\overline {{\text{OC}}} ,{/tex}{tex}\overline {{\text{OB}}} ,{/tex}, {tex}\overline {{\text{OD}}} {/tex}


NCERT Solutions for Class 6 Maths Exercise 4.1

Question 2.Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

Answer: {tex}\overline {{\text{AB}}} ,{/tex}{tex}\overline {{\text{AC}}} ,{/tex}{tex}\overline {{\text{AD}}} ,{/tex}{tex}\overline {{\text{BC}}} ,{/tex}{tex}\overline {{\text{BD}}} ,{/tex}{tex}\overline {{\text{CD}}} ,{/tex}{tex}\overline {{\text{BA}}} ,{/tex}{tex}\overline {{\text{CA}}} ,{/tex}{tex}\overline {{\text{DA}}} ,{/tex}{tex}\overline {{\text{CB}}} ,{/tex}{tex}\overline {{\text{DB}}} ,{/tex}{tex}\overline {{\text{DC}}} {/tex}


Question 3.Use the figure to name:

(a)Line containing point E.

(b)Line passing through A.

(c)Line on which O lies.

(d)Two pairs of intersecting lines.

Answer: (a) A line containing E = {tex}\overline {{\text{AE}}} {/tex} or {tex}\overline {{\text{FE}}} {/tex}

(b) A line passing through A = {tex}\overline {{\text{AE}}} {/tex} or {tex}\overline {{\text{DE}}} {/tex}

(c) A line on which O lies = {tex}\overline {{\text{CO}}} {/tex} or {tex}\overline {{\text{OC}}} {/tex}

(d) Two pairs of intersecting lines are : {tex}\overline {{\text{AD}}} ,{/tex}{tex}\overline {{\text{CO}}} {/tex} and {tex}\overline {{\text{AE}}} {/tex}, {tex}\overline {{\text{FE}}} {/tex}


NCERT Solutions for Class 6 Maths Exercise 4.1

Question 4.How many lines can pass though:

(a) one given point?

(b) two given points

Answer: (a) Infinite number of lines can pass through one given point.

(b) Only one line can pass through two given points.


Question 5.Draw a rough figure and label suitably in each of the following cases:

(a)Point P lies on {tex}\overline {{\text{AB}}} .{/tex}

(b) {tex}\overline {{\text{XY}}} {/tex} and {tex}\overline {{\text{PQ}}} {/tex} intersect at M.

(c) Line {tex}l{/tex} contains E and F but not D.

(d) {tex}\overline {{\text{OP}}} {/tex} and {tex}\overline {{\text{OQ}}} {/tex} meet at O.

Answer: Sol.


NCERT Solutions for Class 6 Maths Exercise 4.1

Question 6.Consider the following figure of line {tex}\overline {{\text{MN}}} {/tex}. Say whether following statements are true or false in the context of the given figure:

(a)Q, M, O, N, P are points on the line {tex}\overline {{\text{MN}}} {/tex}.

(b)M, O, N are points on a line segment {tex}\overline {{\text{MN}}} {/tex}.

(c)M and N are end points of line segment {tex}\overline {{\text{MN}}} {/tex}.

(d)O and N are end points of line segment {tex}\overline {{\text{OP}}} {/tex}.

(e)M is one of the end points of line segment {tex}\overline {{\text{QO}}} {/tex}.

(f)M is point on ray {tex}\overrightarrow {{\text{OP}}} {/tex}.

(g)Ray {tex}\overrightarrow {{\text{OP}}} {/tex} is different from ray {tex}\overrightarrow {{\text{OP}}} {/tex}.

(h)Ray {tex}\overrightarrow {{\text{OP}}} {/tex}same as ray {tex}\overrightarrow {{\text{OM}}} .{/tex}.

(i)Ray {tex}\overrightarrow {{\text{OM}}} .{/tex} is not opposite to ray {tex}\overrightarrow {{\text{OP}}} {/tex}.

(j)O is not an initial point of {tex}\overline {{\text{NP}}} {/tex} and {tex}\overline {{\text{NM}}} {/tex}.

Answer: (a) True, (b) True, (c) True, (d) False, (e) False, (f) False, (g) True, (h) False, (i) False, (j) False, (k) True

NCERT Solutions for Class 6 Maths Exercise 4.1

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