Question

Draw a circle of radius 3.5 cm. Take two point A and B on one of its extended diameter, each at a distance of 5 cm from its centre. Draw tangents to the circle from each of these points A and B.

Answer 1

Steps of Construction

Step 1. Draw a circle with centre O and radius 3.5 cm.

Step 2. Extends its diameter on both sides and mark two points A and B on it such that OA = OB = 5 cm.

Step 3. Draw the perpendicular bisectors of OA and OB. Let C and D be the mid-points of OA and OB, respectively.

Step 4. Draw a circle with C as centre and radius OC (or AC), to intersect the circle with centre O at the points P and Q.

Step 5. Draw another circle with D as centre and radius OD (or BD), to intersect the circle with centre O at the points R and S.

Step 6. Join AP and AQ. Also, join BR and BS.



Here, AP and AQ are the tangents to the circle from A. Also, BR and BS are the tangents to the circle from B.