Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end.
Now, draw tangents to both circles from the centre of the other circle. [4 MARKS]
Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end.
Now, draw tangents to both circles from the centre of the other circle. [4 MARKS]
Construction : 3 Marks
Steps of construction : 1 Mark
Steps of construction :
1. Draw a line segment AB of 10 cm.
2. From the end A, draw a circle of radius 4cm and draw a circle of radius 5cm from the end B.
3. Bisect the line segment AB let it be at point M.
4. With M as centre and AM or BM as radius draw a circle.
2. Let this circle intersect the circle with centre B at points P and P'.
3. Let this circle also intersect the circle with centre A at points Q and Q'.
4. Join AP and AP' which will be the tangents to the circle with centre B.
5. Similarly, join BQ and BQ' which will be the tangents to the circle with centre A.
Construction : 3 Marks
Steps of construction : 1 Mark
Steps of construction :
1. Draw a line segment AB of 10 cm.
2. From the end A, draw a circle of radius 4cm and draw a circle of radius 5cm from the end B.
3. Bisect the line segment AB let it be at point M.
4. With M as centre and AM or BM as radius draw a circle.
2. Let this circle intersect the circle with centre B at points P and P'.
3. Let this circle also intersect the circle with centre A at points Q and Q'.
4. Join AP and AP' which will be the tangents to the circle with centre B.
5. Similarly, join BQ and BQ' which will be the tangents to the circle with centre A.
