Question

is 7 cm away from the centre of the circle.
Measure the length of the tangent and verify.
5. Draw a circle of radius 3.5 cm, construct two tangents from an external point which is 5.5 cm away
from the circle.
6. Draw a circle of radius 4 cm and draw two radii which inclines an angle of 105º. Construct tangents a
the ends of radii to the circle.
7. Draw a circle of radius 3.5 cm construct a pair of tangents to a circle which inclines an angle of
Foº with each other.
...
Draw a circle of radius 3 cm and a chord 5 cm, construct a tangent at one end of the chord.
. Three marks questions.
Construct a triangle of sides 4 cm, 6 cm and 7 cm and then construct a triangle similar to it w
sides are % of the corresponding sides of the first triangle.​

Answer 1

Answer:

Radius of the circle=3cm, OP=7cm.

Construction:

(i) With O as the centre draw a circle of radius 3cm.

(ii) Mark a point P at a distance of 7cm from O and join OP.

(iii) Draw the perpendicular bisector of OP. Let it meet OP at M.

(iv) With M as centre and MO as radius, draw another circle.

(v) Let the two circles intersect at T and T'.

(vi) Join PT and PT'. They are the required tangents. Length of the tangent, PT=6.3cm.

Verification:

In the right angled Δ OPT,

PT=

OP

2

−OT

2

=

7

2

−3

2

=

49−9

=

40

∴PT=6.3cm(approximately).