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Indian Navy MR Circles — practice questions

Explore 2 free Circles questions in Indian Navy MR 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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PA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius and PA are related byRead the answer and worked solution →In a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PD equalsRead the answer and worked solution →

Worked practice questions

PA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius and PA are related by

  1. PA = r
  2. PA = r (square root of 2)
  3. PA = 2 r
  4. PA = r/2
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Correct answer: A. PA = r

1. In quadrilateral OAPB, all four angles: OAP = OBP = 90, APB = 90, AOB = 90. 2. OAPB is a square with side r and side PA. 3. Hence PA = r. _Source: syllabus Mathematics, Ch 10 "Circles", §10.3_

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In a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PD equals

  1. 1
  2. 2
  3. 4
  4. 8
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Correct answer: B. 2

1. Intersecting chords theorem: AP × PB = CP × PD. 2. 8 = 4 × PD. 3. PD = 2. _Source: syllabus Mathematics, Ch 10 "Circles", §10.3_

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