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Mathematics
Construction of circles
How many circles can be drawn through three noncollinear points
(a) only one
(b) two
(c) three
(d) infinite

Mathematics
Construction of circles
Draw any circle and mark an arc.

Mathematics
Construction of circles
With $\overline{PQ}$ of length $6.1$ cm as diameter, draw a circle.


Mathematics
Construction of circles
Use ruler and compass only for the following question. All construction lines and arcs must be clearly shown.
Construct a $\vartriangle ABC$ in which BC = 6.5 cm,$\angle ABC=60{}^\circ $, AB = 5 cm. Construct a locus of points ${{l}_{1}}$ at a distance of 3.5 cm from A. Also, construct a locus of points ${{l}_{2}}$ which is equidistant from AC and BC. Let ${{l}_{1}}$ intersect ${{l}_{2}}$ in two points X and Y. Measure XY.

Mathematics
Construction of circles
Draw a circle of diameter 7 cm and construct tangents at the ends of the diameter.

Mathematics
Construction of circles
With $ {O_1} $ and $ {O_2} $ as centres draw two circles of the same radii $ 3\;cm $ and with the distance between the two centres equal to $ 5\;cm$.

Mathematics
Construction of circles
Construct a tangent to a circle of radius $4cm$ from a point on the concentric circle of radius $6cm$ and measure its length and also verify the obtained measurements by actual calculation.

Mathematics
Construction of circles
What is the instrument to draw a circle?
A. Ruler
B. Protractor
C. Divider
D. Compasses

Mathematics
Construction of circles
Draw a circle having radius $ 3cm $ . Draw a chord XY $ = 5cm. $ Draw tangents at point X and Y without using centre.

Mathematics
Construction of circles
Draw a circle of radius $ 4cm $ . Draw any two of its chords. Construct the perpendicular bisector of these two chords. Where do they meet?

Mathematics
Construction of circles
Draw a circle with center at point Draw its chord AB and CD such that AB is not parallel to CD. Draw the perpendicular bisector of AB and CD. At what point do they intersect?

Mathematics
Construction of circles
Draw $\overline {PQ} $ where PQ = 10cm. Draw circle $ \odot $ (P, 4) and $ \odot $ (Q, 3)
Draw a tangent to each circle from the Centre of the other circle. Write points of construction.

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