Name: Construction of Tangents From an Exterior Point
Uploaded: 2019-07-19
Duration: 6 min 26 s
Description: Two tangents can be drawn to a circle from a point outside the circle. Let's learn how to construct a pair of tangents to a circle from an external point wit...

Question

Draw a circle of radius

3 cm

. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Accepted Answer

Steps to carry out the construction are as follows:

$1 .$ Draw a circle of radius $3 cm$ .

$2 .$ Now, take a point $P$ outside the circle and draw a secant $P A B$ , intersecting the circle at points $A, B$ .

$3 .$ Now produce $A P$ to a point $C$ so that $A P = C P$ .

$4 .$ Next, draw a semi-circle with the compass, taking $C B$ as the diameter.

$5 .$ Draw a perpendicular $P D$ to $C B$ , intersecting the semi-circle at $D$ .

$6 .$ Now, with $P$ as centre and $P D$ as radius, draw arcs to intersect the circle at points $T$ and $M$ .

$7 .$ Join the lines $P T$ and $P M$ .

$8 .$ Hence, $P T$ and $P M$ are the required tangents.

Draw a circle of radius $3 cm$ . Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Important Questions on Constructions

Learn and Prepare for any exam you want !

Draw a circle of radius 3 cm. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Important Questions on Constructions

Learn and Prepare for any exam you want !

Draw a circle of radius $3 cm$ . Take a point outside the circle. Construct the pair of tangents from this point to the circle.