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**NCERT solutions for Maths Basic geometrical ideas Download as PDF**

## 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