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Question

Draw a circle of radius 3.4 cm and centre E. Take a point F on the circle. Take another point A such that E-F-A and FA = 4.1 cm. Draw tangents to the circle from point A.

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Solution


Steps of Construction:

​Step 1: Construct a circle of radius 3.4 cm with centre E.

Step 2: Mark a point F on the circle.

Step 3: Take a point A in the exterior of the circle such that FA = 4.1 cm

Step 3: Draw segment FA. Draw perpendicular bisector of segment EA to get its midpoint M.

Step 4: Draw a circle with radius EM and centre M.

Step 5: Name the point of intersection of the two circles as X and Y.

Step 6: Draw line AX and line AY.



Here, line AX and line AY are tangents to the circle from point A.

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