Q: Write the steps of construction to construct the tangents to a circle from an external point.
Steps of construction:
1) Take point O and draw a circle of radius 4 cm.
2) Take any point P out side the circle.
3) Through the external point P draw a straight line PBA meet the given circle at A and B.
4) With AP as diameter , draw a semicircle.
5) Draw BC ⊥ AP, which intersects the semicircle at C.
6) With P as centre and radius PC draw an arc cutting the given circle at Q .Join PQ Then PQ is the required tangent.
see the picture for the figure
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Q: Write the steps of construction to construct the tangents to a circle from an external point.
Steps of construction:
1) Take point O and draw a circle of radius 4 cm.
2) Take any point P out side the circle.
3) Through the external point P draw a straight line PBA meet the given circle at A and B.
4) With AP as diameter , draw a semicircle.
5) Draw BC ⊥ AP, which intersects the semicircle at C.
6) With P as centre and radius PC draw an arc cutting the given circle at Q .Join PQ Then PQ is the required tangent.
see the picture for the figure