Question

draw a cricle of the radius 3 cm . take a point P outside the circle at a distance of 7cm. from the centre O of the circle and draw two tangents to the circle​

Answer 1

Given: Radius of the circle=3cm, OP=7cm.

Construction:

(i) With O as the centre draw a circle of radius 3cm.

(ii) Mark a point P at a distance of 7cm from O and join OP.

(iii) Draw the perpendicular bisector of OP. Let it meet OP at M.

(iv) With M as centre and MO as radius, draw another circle.

(v) Let the two circles intersect at T and T'.

(vi) Join PT and PT'. They are the required tangents. Length of the tangent, PT=6.3cm.

Verification:

In the right angled Δ OPT,

PT=

OP

2

−OT

2

=

7

2

−3

2

=

49−9

=

40

∴PT=6.3cm(approximately).

solution