NCERT Solutions for Class 6 Maths Exercise 14.3

NCERT Solutions for Class 6 Maths Exercise 14.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 6 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

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Class –VI Mathematics

(Ex. 14.3)

Question 1.Draw any line segment {tex}\overline {{\text{PQ}}} .{/tex} Without measuring {tex}\overline {{\text{PQ}}} ,{/tex} construct a copy of {tex}\overline {{\text{PQ}}} .{/tex}

Answer: Steps of construction:

(i) Given {tex}\overline {{\text{PQ}}} {/tex} whose length is not known.

(ii) Fix the compasses pointer on P and the pencil end on Q. The opening of the instrument now gives the length of {tex}\overline {{\text{PQ}}} {/tex}.

(iii) Draw any line {tex}’l’.{/tex} Choose a point A on {tex}’l’.{/tex} Without changing the compasses setting, place the pointer on A.

Draw an arc that cuts {tex}’l'{/tex} at a point, say B. Now {tex}\overline {{\text{AB}}} {/tex} is a copy of {tex}\overline {{\text{PQ}}} {/tex}.

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NCERT Solutions for Class 6 Maths Exercise 14.3

Question 2.Given some line segment {tex}\overline {{\text{AB}}} ,{/tex} whose length you do not know, construct {tex}\overline {{\text{PQ}}} {/tex} such that the length of {tex}\overline {{\text{PQ}}} {/tex} is twice that of {tex}\overline {{\text{AB}}} .{/tex}

Answer: Steps of construction:

(i) Given {tex}\overline {{\text{AB}}} {/tex} whose length is not known.

(ii) Fix the compasses pointer on A and the pencil end on B. The opening of the instrument now gives the length of {tex}\overline {{\text{AB}}} {/tex}.

(iii) Draw any line {tex}’l’.{/tex} Choose a point P on {tex}’l’.{/tex} Without changing the compasses setting, place the pointer on Q.

(iv) Draw an arc that cuts {tex}’l'{/tex} at a point R.

(v) Now place the pointer on R and without changing the compasses setting, draw another arc that cuts {tex}’l'{/tex} at a point Q.

Thus {tex}\overline {{\text{PQ}}} {/tex} is the required line segment whose length is twice that of AB.

NCERT Solutions for Class 6 Maths Exercise 14.3

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