Question 11 (Choice 1) Construct two concentric circles of radii 3cm and 7cm. Draw two tangents to the smaller circle from a point P which lies on the bigger circle. Steps of construction
Steps of construction
Draw a circle of radius 3 cm with center O
Draw concentric circle of radius 7 cm, with center O
Mark point P on the larger circle
3. Join PO.
Make perpendicular bisector of PO
Let M be the midpoint of PO.
4. Taking M as centre and MO as radius,
draw a circle.
5. Let it intersect the given circle at points Q and R.
6. Join PQ and PR.
∴ PQ and PR are the required two tangents.
After measuring, lengths of tangents PQ and PR are 4.47 cm each
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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