Question

Write the steps of construction to construct the tangents to a circle from an external point.

Answer 1

Steps of Construction:

Step 1: Draw a circle with O as centre and some radius.

Step 2: Mark a point P outside the circle. Join OP.

Step 3: Draw the perpendicular bisector of OP cutting it at M.

Step 4: Draw another circle with M as centre and radius MP (or OM), to intersect the given circle at the points A and B.

Step 5: Join PA and PB.

 
Here, PA and PB are the required tangents.