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In the Following Figure, Pq is the Tangent to the Circle at A, Db is a Diameter and O is the Centre of the Circle. If - Mathematics

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प्रश्न

In the following figure, PQ is the tangent to the circle at A, DB is a diameter and O is the centre of the circle. If ∠ ADB = 30° and ∠ CBD = 60° ; calculate ∠ PAD.

योग

उत्तर

OA = OD (radii of the same circle)

∴ ∠ OAD  = ∠ ODA = 30°

But, OA ⊥ PQ

∴ ∠ PAD = ∠ OAP  - ∠ OAD = 90°  - 30° = 60°

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अध्याय 18: Tangents and Intersecting Chords - Exercise 18 (B) [पृष्ठ २८३]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 18 Tangents and Intersecting Chords
Exercise 18 (B) | Q 3.2 | पृष्ठ २८३

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