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Tangents are drawn at the four end-points of two perpendicular diameters of a circle. The quadrilateral formed by these four tangents is a:
Answer & Solution
Correct answer: D.
1. Each tangent is perpendicular to its diameter at the contact point.
2. The two diameters are mutually perpendicular by hypothesis.
3. The four tangents are therefore parallel in two pairs and meet at right angles.
4. Each side of the quadrilateral is the same distance from the centre (the radius), so all sides are equal.
5. A quadrilateral with all sides equal and all angles right is a square.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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