CBSE Class 10 Answered

Draw a circle with a bangle (the centre is unknown). Let P be a point outside a circle.

Required : To draw tangents from a point P outside the circle.

Steps of construction:

i. Draw a secant PAB to intersect the circle at A and B.

ii. Produce AP to a point C, such that PA = PC.

iii. With BC as a diameter, draw a semicircle.

iv. Draw PO ^ CB, intersecting the semicircle at O.

v. Taking PO as radius and P as centre, draw arc to intersect the circle at T and T’.