alleryA point P is 17 cm from the centre of a circle of radius 8 cm. The length of the tangent from P to the circle is
A9 cm
B13 cm
C15 cm
D12 cm
Answer & Solution
Correct answer: C. 15 cm
1. Tangent PT, radius OT, hypotenuse OP form a right triangle right-angled at T.
2. PT squared = OP squared minus OT squared = 17 squared minus 8 squared = 289 minus 64 = 225.
3. PT = 15 cm.
_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