Question

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. [ For 10th Class ]​

Answer 1

Answer:

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. 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

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