Question

Solve any four of the following subquestions:
1. Draw a circle with centre O and radius 3.9cm Draw a tangent to the circle at any point on it without using the centre.​

Answer 1

Answer:

Correct option is

A

60

∘

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

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solution

Answer 2

Answer:

Construct a circle of 3.9 cm with centre O. Take any point M on it.

2. Join O−M and draw perpendicular of OM at M.

This is the required tangent of the circle.

solution