1.

Draw a circle of radius 5cm from a point 8cm away from its centre construct the pair oftangents to the circle and measure their length.​

Answer»

Answer:

Draw ⨀(A,5 cm) and take point B in its EXTERIOR such that AB=8 cm.

To CONSTRUCT: 

Through B, tangents are to be drawn to ⨀(A,5 cm).

STEPS of construction:

1) Draw ⨀(A,5 cm) and take point B in its exterior such that AB=8cm.

2) Draw AB.

3) Obtain the midpoint M of AB by constructing its perpendicular bisector.

4) Draw ⨀(M,MA) intersecting ⨀(A,5 cm) at X and Y.

5) Draw BX and BY.

Hence, BX and BY are the required tangents.

The LENGTH of tangents BX and BY is 6.2 (approx)

i.e., BX=BY=6.2 cm (approx.)


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