Indian Navy INET Circles — practice questions

Explore 2 free Circles questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Circles questions and exercises with answers

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Two tangents PA and PB are drawn from an external point P to a circle. If angle APB = 60 degrees, then angle AOB equalsRead the answer and worked solution →A point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is 24 cm long. The radius of the circle isRead the answer and worked solution →

Worked practice questions

Two tangents PA and PB are drawn from an external point P to a circle. If angle APB = 60 degrees, then angle AOB equals

60 degrees
90 degrees
150 degrees
120 degrees

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Correct answer: D. 120 degrees

1. In quadrilateral OAPB, angles OAP and OBP are both 90 degrees (tangent perpendicular to radius). 2. Sum of all four angles = 360 degrees, so AOB + APB = 180. 3. AOB = 180 - 60 = 120 degrees. _Source: syllabus Mathematics, Ch 10 "Circles", §10.3_

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A point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is 24 cm long. The radius of the circle is

7 cm
10 cm
15 cm
20 cm

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Correct answer: A. 7 cm

1. OP squared = OT squared + PT squared. 2. 625 = OT squared + 576, so OT squared = 49. 3. Radius OT = 7 cm. _Source: syllabus Mathematics, Ch 10 "Circles", §10.3_