Question

prove that the tangents drawn at the ends of a diameter of a circle are parallel .

Answer 1

there is your answer bro these is most brilliant answer

Answer 2

in the questions ,

here we let AB is a diameter. of the this circle and LM and PQ are the tangents line's drawn to in the circle at points A and B such as respectively.

To prove Lm || PQ

proof

all of you know that the tangents of any point an circle is perpendicular to their radius through the point of contact.


so ,

OA perpendicular PQ.

and ,

OB perpendicular LM

=> AB perpendicular PQ

and

AB perpendicular LM

=> Angle PAB = 90°

and ,

Angle ABM = 90°

=> Angle PAB = Angle ABM [ each 90°]

But these are alternate angles

so ,

PQ || LM

therefore the tangents drawn at the ends of a diameter of a circle are parallel.

proved

be brainly