Question

Draw a circle with centre M and diameter 6cm.Draw a tangent to the circle from a point N at a distance of 9cm from the centre.

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Answer 1

Answer:

Steps of construction

STEP I

Draw a circle with centre O and radius 3 cm.

STEP II

Draw a radius OA of this circle and produce it to

B.

STEP III

Construct an angle ∠AOP equal to the complement of 30°i.e. equal to 60°.

STEP IV

Draw perpendicular to OP at P which intersects OA produced at Q

Clearly, PQ is the desired tangent such that ∠OQP=30°.

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