Question

A circle of radius 4cm is given. Construct a pair of tangents to the given circle from
an external point P which is 10 cm away from its centre.​

Answer 1

Answer:

Steps of construction :

(i) Draw a circle of radius 4 cm.

(ii) Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.

(iii) Produce AP to C such that AP = CP.

(iv) Draw a semi-circle with CB as diameter.

(v) Draw PD and CB intersecting the semi-circle at D.

(vi) With P as centre and PD as radius draw arcs to intersect the given circle at T and T’.

(vii) Join PT and PT’. Then PT and PT’ are the required tangents.

Step-by-step explanation:

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