Ncert solutions for class 9 maths chapter 11 constructions
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In these the steps of constructions of each question of exercises are given properly. Move to of the page. If the point lies on the circle, we draw radius through this point and draw a line perpendicular to this radius through this point. Steps of Construction : 1. The topic is accompanied with constructions, steps of constructions, alternative methods, and important remarks.

Step 2: With A and B as centres, two arcs are made. We know that an angle in a semi-circle is a right angle. Let it intersect the given circle at the points Q and R. Taking A and B as centre, draw two circles of 4 cm and 3 cm radius. Step 5: With A and B as centre, draw two arcs intersecting each other with the same radius at X.

The topic Basic constructions explains how can we construct the bisector of the given angle, constructing a perpendicular bisector of a given line segment, etc. There are also two cases depending whether the point lies on the circle or lying outside of the circle. However, sometimes one needs an accurate figure, for example - to draw a map of a building to be constructed, to design tools, and various parts of a machine, to draw road maps etc. Answer: The below given steps will be followed to construct the required triangle. We know that all sides of an equilateral triangle are equal. Click here to see or and in English Medium or go back to main page.

Step 5: Lines from A and B are extended to meet each other at C. There are two cases for these type of constructions. We have to draw tangents to the circle from the point P. Steps of Construction : 1. Get 100 percent accurate for Class 10 Maths Chapter 11 Constructions solved by expert Maths teachers.

These are the required tangents. Step 5 Join A 3B. If the point lies outside of the circle, there would be two tangents through this point. To draw the perpendicular bisector of a given line segment. Note : - For clarity in figure, method of drawing angles of 15º and 45º have not been shown. The ancient Greek mathematician is the acknowledged inventor of geometry. Move to of the page.

Question-5 Construct an equilateral triangle, given its side and justify the Construction. Other than given exercises, you should also practice all the solved examples given in the book to clear your concepts on Constructions. Video Solution Answer: Let us draw an equilateral triangle of side 5 cm. Click here to see or and in English Medium or go back to main page. Construct the angles of the following measurements: i 30° ii 22.

We know that perpendicular bisector of a chord passes through the centre. Draw arcs of same radius on both sides of the line segment while taking point A and B as its centre. Thus the construction is verified. They were drawn only to give you a feeling for the situation and as an aid for proper reasoning. Steps of Construction : 1. Suppose C be the given circle with centre O and a point P outside it.

Therefore, all sides of the equilateral triangle will be 5 cm. Step 5: With A and B as centre, draw two arcs intersecting each other with the same radius at X. Let it intersect the given circle at the points Q and R. Click here to see or and in Hindi Medium or go back to main page. Let both the perpendiculars intersect at point P.