Question

construct two circles of radii 3cm and 2 cm with centres 7 cm apart Draw the tangents from the centre of each circle to the other circle​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

construct two circles of radii 3cm and 2 cm with centres 7 cm apart Draw the tangents from the centre of each circle to the other circle​.

• Steps for construction:
• Draw a line segment AB=7cm
• Draw the circle C1 of radius 3cm with A as the centre.
• Draw circle C2 of radius 2cm with B as the centre.
• Draw circle C3 of radius 5cm (sum of radii C1 and C2) with A
• Bisect the line AB to get its midpoint M. With M as the centre and AM as radius, draw an arc to cut C3 at X. BX is tangent to C3 at X. Join XA to meet C1 at P .
• Draw a line from B parallel to APX. Let this line cut C2 at R.
• Draw a line from P to R.
• PR is the transverse common tangent.
• Bisect the line AB to get its midpoint M. With M as the centre and AM as radius, draw an arc to cut C3 at Y. BY is tangent to C3 at Y.Join YA to meet C1 at Q
• Draw a line from B parallel to AQY. Let this line cut C2 at S.
• Draw a line from Q to S.
• QS is the transverse common tangent.
• Therefore PR and QS are the transverse common tangents .