Question

Draw two tangents to a circle of diameter 10 cm from a point P at a distance of 7.4 cm from
its centre​

Answer 1

Given : a circle of diameter 10 cm

To Find : Draw two tangents to   circle from a point P at a distance of 7.4 cm from its centre​

Solution:

Step 1 : Mark a point O

Step 2 : Using compass width = 5 cm draw a circle

Step 3 :  draw a ray  OX

Step 4 : Using compass width = 7.4 cm and taking O as center cut the ray OX at P

Step 5 : Using suitable compass width and taking O as center draw arcs on both sides of OP

Step 6 : Keeping compass width same and  taking P as center draw arcs such that it intersects arc drawn in previous step at X and Y

Step 7 : Join X and Y , intersecting OP at M

Step 8 : Using compass width = OM / MP and taking M as center draw  a  circle / arcs  intersecting the first circle at points A and B

Step 9 : Join PA and PB

PA and PB are  the required tangents

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