51-EXERCISE-13.3 Q7 | Direct tangent | Draw two circles with radii 2.5 cm and 3 cm. If their Cen...

EXERCISE-13.3 Q7. Draw two circles with radii 2.5 cm and 3 cm. If their Centers are
6.5 cm apart, then draw two direct common tangents.
Steps of Construction:
1. Draw a line segment OO' of length 6.5 cm.
2. Draw two circles of radii 3 cm and 2.5 cm with Centers at points O and O'.
3. Find mid-point M of OO' by drawing perpendicular bisector of (OO')
4.Taking point M as Centre and radius equal to MO=MO' draw a circle.
5. Draw another circle with O as Centre and radius
equal to 3cm-2.5cm=0.5cm, cutting the circle with Centre M at points P and Q.
6.Produce OP and OQ to meet the first circle at Points A and B .
7. Draw O'A'∥OA and O'B'∥(OB
8. Join A with A' and B with B' so that AA' and BB' are the required common tangents.

The word Geometry is derived from two Greek words
Geo(earth) and Metron (measurement).
Geometry means measurement of earth or land.
Geometry is an important branch of Mathematics which deals
with shape, size and position of Geometric figures.
Euclid’s Elements has been referred to as the most successful
and influential Textbook ever written on Geometry.
A circle of any radius can be constructed by rotating
a compass about a fixed point O.
Circle is a locus of points whose distances from
a fixed point is same
#DirectCommonTangents
Radius is the distance from Centre to boundary of the circle.
Diameter is a chord passing through the Centre of circle.

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