Question

the lenght of a tangent from a point A at a distance 5cm from the centre of the circle a.2 b.3 c.4 d.1
PLZ WITH EXPLANATION​

Answer 1

Answer:

Correct option is

C

3 cm

Let AT be the tangent drawn from a point A to a circle with centre 

O and OA=5 cm and AT=4 cm. Since tangent at a point is 

perpendicular to the radius through the point of contact

∴OT⊥AT 

∴ from right angled △OAT,

(OA)2=(OT)2+(TA)2

⇒(5)2=(OT)2+(4)2

⇒25−16=(OT)2

⇒9=(OT)2

⇒OT=3 cm

∴ radius of the circle =3 cm.

Step-by-step explanation:

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