Question

The perpendicular at a point of contact to the tangent to a circle passes through the centre
True or false ​

Answer 1

Answer:

According to me Its Definitly TRUE

Step-by-step explanation:

As Tangent of circle makes angle of 90° with Centre of the circle & from one point there is only one perpendicular possible.

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Answer 2

True , The perpendicular at a point of contact to the tangent to a circle passes through the center

Step-by-step explanation:

The perpendicular at a point of contact to the tangent to a circle passes through the center

O is the center of the given circle.

A tangent PR has been drawn touching the circle at point P.

Draw QP ⊥ RP at point P, such that point Q lies on the circle.

∠OPR = 90°  

Also, ∠QPR = 90°  (Given)

∴ ∠OPR = ∠QPR

Now, above case is possible only when centre O lies on the line QP.

Hence, perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.

#Learn more:

In the figure, PQ and PR are tangent to the circle with centre O. If angle QOR = 120, Find angle QPR and angle OPR

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