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**NCERT solutions for Maths Practical geometry Download as PDF**

## NCERT Solutions for Class 6 Maths Practical geometry

**Class –VI Mathematics **

**(Ex. 14.4)**

**Question 1.**Draw any line segment {tex}\overline {{\text{AB}}} .{/tex} Mark any point M on it. Through M, draw a perpendicular to {tex}\overline {{\text{AB}}} .{/tex} (Use ruler and compasses)

**Answer: Steps of construction**:

(i) With M as centre and a convenient radius, draw an arc intersecting the line AB at two points C and B.

(ii) With C and D as centres and a radius greater than MC, draw two arcs, which cut each other at P.

(iii) Join PM. Then PM is perpendicular to AB through the point M.

NCERT Solutions for Class 6 Maths Exercise 14.4

**Question 2.**Draw any line segment {tex}\overline {{\text{PQ}}} .{/tex} Take any point R not on it. Through R, draw a perpendicular to {tex}\overline {{\text{PQ}}} .{/tex} (Use ruler and set-square)

**Answer: Steps of construction**:

(i) Place a set-square on {tex}\overleftrightarrow {{\text{PQ}}}{/tex} such that one arm of its right angle aligns along {tex}\overleftrightarrow {{\text{PQ}}}{/tex}.

(ii) Place a ruler along the edge opposite to the right angle of the set-square.

(iii) Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set square.

(iv) Join RM along the edge through R meeting {tex}\overleftrightarrow {{\text{PQ}}}{/tex} at M. Then RM {tex} \bot {/tex} PQ.

NCERT Solutions for Class 6 Maths Exercise 14.4

**Question 3.**Draw a line {tex}l{/tex} and a point X on it. Through X, draw a line segment {tex}\overline {{\text{XY}}} {/tex} perpendicular to {tex}l.{/tex}

Now draw a perpendicular to {tex}\overline {{\text{XY}}} {/tex} to Y. (use ruler and compasses)

**Answer:** Steps of construction:

(i) Draw a line {tex}’l'{/tex} and take point X on it.

(ii) With X as centre and a convenient radius, draw an arc intersecting the line {tex}’l'{/tex} at two points A and B.

(iii) With A and B as centres and a radius greater than XA, draw two arcs, which cut each other at C.

(iv) Join AC and produce it to Y. Then XY is perpendicular to {tex}’l'{/tex}.

(v) With D as centre and a convenient radius, draw an arc intersecting XY at two points C and D.

(vi) With C and D as centres and radius greater than YD, draw two arcs which cut each other at F.

(vii) Join YF, then YF is perpendicular to XY at Y.

## NCERT Solutions for Class 6 Maths Exercise 14.4

NCERT Solutions Class 6 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 6 Maths includes text book solutions from Class 6 Maths Book . NCERT Solutions for CBSE Class 6 Maths have total 14 chapters. 6 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 6 solutions PDF and Maths ncert class 6 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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