Question

(ii) Draw a circle with centre
O and radius 3.5 cm.
3.5 cm
30°
А
Locate a point Q in the
plane of the circle such
the tangent drawn from
Q to the circle makes an
(Analytical figure)
angle of 30° with OQ with the help of following steps.
Consider the analytical figure as shown. Let OQ intersect
the circle at A as shown and tangent from Q to the circle
8
touch the circle at P then,
(a) What will be the measure of LAOP?
(b) Thus by drawing the central ZAOP, P is located .
Construct tangent at P and locate Q.
(c) Measure OQ and relate it with OP.​

Answer 1

Draw a circle with centre O and radius 3.5 cm. Draw two tangents PA and PB from an external point P such that <APB=45

0

. What is the value of <AOB+<APBSteps of construction are as follows:-

1) Draw a circle of radius OQ= 3.5cm with centre at O.

2) Draw an angle of 90

0

from point O.

3) Let ray of angle intersect the circle at R.

4) Now draw 90

0

from point Q

5) Draw 90

0

at point R.

6) These two arcs meet each other, mark the point as P

PQ and PR are the two tangents inclined at angle of 45

0

Now ∠AOB=90

0

and ∠APB=45

0

=∠AOB+∠APB=135

0

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