Question

draw a circle of radius 3cm from a point outside the circle at a distance of 6cm from the centre draw two tangents inclined at an angle of 120 degree​

Answer 1

Answer:

Step 1: Place a compass on any point O on the paper and draw a circle of radius 6 cm.

Step 2: Mark a point P outside the circle at a distance of 10 cm from O.

Step 3: Place the compass on P, take radius of more than 5 cm and draw two arcs on both sides of line OP. With the same radius, mark two arcs from point O which intersect the arcs drawn from P.

Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of OP. Mark the mid point of OP as M.

Step 5: Place the compass on M and draw a circle with radius =PM=OM

Step 6: Mark the intersection points of the circle obtained in step 5 and the original circle as A and B. Join P−A and P−B.

Measure ∠APB with a protractor. m∠APB=60°

So total is 2×60=120

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Answer 2

then angle between the two tangents will be 2tan-1(1/2) which is not equal to 120°. so such construction is not possible.