Question

What sort of a quadrilateral is formed by the tangents at the ends of
two diameters of a circle. Also mention the steps to prove.

Answer 1

No quadrilateral will be formed because if tangents are at the diametrically ends then they be parallel and will be never meet to form a quadrilateral.

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Answer 2

Answer:

Square will be formed when the tangents at the ends of two diameters of a circle are connected.

Explanation:

The tangent at any point of a circle subtends an angle of 90 degrees with the line passing through the centre (diameter). So, when four tangents at the given four ends of the circle are connected, the quadrilateral formed will satisfy the conditions of a square.