Question

the lenght of the tangent from an external point A on a circle with centre O is
a)always greater than OA
b)equal to OA
c)always less than OA
d)unequal to OA

plz with explanation​

Answer 1

Answer:

hey your answer is as follows

so pls mark it as brainliest

refer the reference diagram uploaded above for better understanding

Step-by-step explanation:

now as oa is tangent to given circle with centre O,it will make an angle of 90 degree with radius of circle because of tangent theorem

so this side opp.to angle p would be hypotenuse ie oa is our hypotenuse

so as we know that sum of two smaller sides of any triangle is equal to third side

so for any right angled triangle hypotenuse is the biggest side

so this we can conclude that

PA<OA AND OP<OA

thus option c ie length of tangent is always less than OA

and moreover tangent segments drawn from external point are equal

l(OA)=length of another tangent segment of afjoin8ng circle

hope it helped u a lot