Question

Draw a circle with centre O and radius 3.5 cm. Take point P at a distance of 5.7 cm from the centre. Draw tangents to the circle from point P.

Answer 1

Steps of Construction:

Step 1: Construct a circle of radius 3.5 cm with centre O.

Step 2: Take a point P in the exterior of the circle such that OP = 5.7 cm

Step 3: Draw segment OP. Draw a perpendicular bisector of segment OP to get its midpoint M.

Step 4: Draw a circle with radius OM and centre M.

Step 5: Name the point of intersection of the two circles as A and B.

Step 6: Draw line PA and line PB.

Here, line PA and line PB are tangents to the circle from point P.