alleryA circle has centre O. A tangent at P makes an angle of 30 degrees with chord PQ. Then angle POQ equals
A30 degrees
B60 degrees
C90 degrees
D120 degrees
Answer & Solution
Correct answer: B. 60 degrees
1. Tangent-chord angle equals the inscribed angle in the alternate segment.
2. Inscribed angle subtending PQ is 30 degrees.
3. Central angle POQ = 2 × inscribed = 60 degrees.
_Source: syllabus Mathematics, Ch 10 "Circles", §10.3_
Keep practising Triangles and Circles
Browse all Triangles and Circles questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
Two circles touch each other externally at P. A common tangent at P meets another common tIn a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PA point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is Two parallel tangents are drawn to a circle of radius 8 cm. The distance between them isA tangent at point P of a circle of radius 5 cm is parallel to a chord 8 cm long. The distA circle touches all four sides of a quadrilateral ABCD with AB = 6, BC = 7, CD = 4. Then PA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius aA line drawn through the centre of a circle to bisect a chord is