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### High School Mathematics - 28.12 Construction of a Tangent to a Circle

 Step 1: Draw any chord PQ of the circle through P as shown. Step 2: Take any point R on the major arc PQ. Join PR and QR. Step 3: COnstruct angle OPX equal to angle PRQ. PX is the required tangent at P. Steps to construct a tangent to a circle from an external point Construction of Direct common tangents to 2 circles of equal radii whose centers are at a given distance from each other Construction of Direct common tangents to 2 circles of different radii Construction of tranverse tangents Directions: Construct tangents to the following.
 Q 1: Construct direct common tangents to 2 circles of radii 3cm and 2cm whose centers are 6.5cm apart.Answer: Q 2: Construct transverse common tangent to circles of radii 2cm and 1 cm whose centers are 5.5 cm apart.Answer: Q 3: Answer: Q 4: Construct a tangent to a circle of radius 2cm from a point 5cm away from the centerAnswer: Q 5: Draw direct common tangents to 2 circles of radii 2cm whose centers are 5cm apart. Answer: Q 6: Answer: Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!