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Indian Navy Pilot Circles — practice questions

Explore 2 free Circles questions in Indian Navy Pilot 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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The tangent at any point of a circle isRead the answer and worked solution →Two circles touch each other externally at P. A common tangent at P meets another common tangent AB at point M. Then AM equalsRead the answer and worked solution →

Worked practice questions

The tangent at any point of a circle is

  1. Parallel to the radius at the point of contact
  2. Perpendicular to the radius at the point of contact
  3. At 45 degrees to the radius
  4. Coincident with the radius
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Correct answer: B. Perpendicular to the radius at the point of contact

1. Tangent-radius theorem: the tangent at a point on a circle is perpendicular to the radius drawn to that point. 2. Angle between tangent and radius is 90 degrees. 3. Hence option B. _Source: syllabus Mathematics, Ch 10 "Circles", §10.2_

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Two circles touch each other externally at P. A common tangent at P meets another common tangent AB at point M. Then AM equals

  1. MB/2
  2. 2 MB
  3. MB
  4. 0
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Correct answer: C. MB

1. M is equidistant from points of tangency on each circle because tangents from a point are equal. 2. So MA = MP and MB = MP, hence MA = MB. 3. Therefore AM = MB. _Source: syllabus Mathematics, Ch 10 "Circles", §10.3_

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