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Circles

20 lessons · 25 questions · 10 PYQs

What the exams ask here

  • circle radius 13 cuts square sides area
  • distance between parallel chords
  • dog runs 1 m outside triangle
  • angle between tangents
  • two circles on either side of a chord equal to the radius (Indore 2019 Q31)
  • chords AB = 3, BC = 2 on a circle of radius 6 -> AC (Indore 2019 Q33)
  • equilateral triangle and circle on diameter AB (Indore 2024 Q19)
  • dog 1 m from a 4-6-9 triangle (Indore 2025)
  • circle radius 13 touching two sides of a square of side 18 (Indore 2025 SA)
  • circle through A and C of a 72 x 30 rectangle (Indore 2026, memory-based)
  • cyclic quadrilateral with AC = 25 (Indore 2026 SA, memory-based)

Lessons

  1. Start hereThe idea and the methodFirst lesson of Circles
  2. 1.Chord distance1 question + fresh variants
  3. 2.Tangent from external point1 question + fresh variants
  4. 3.Angle between tangents1 question
  5. 4.Inscribed circles area ratio5 questions + fresh variantsIndore 2019
  6. 5.Circle meets square1 question + fresh variantsIndore 2025 SA
  7. 6.Shortest longest distance from pointNew numbers every time (templates)
  8. 7.Arc length sector3 questions + fresh variants
  9. 8.Cyclic quadrilateral1 question + fresh variantsIndore 2026 SA (like)
  10. 9.Intersecting chordsNew numbers every time (templates)
  11. 10.Path around polygon at distance1 question + fresh variantsIndore 2025
  12. 11.Angle at centre1 question + fresh variants
  13. 12.Common tangent lengthNew numbers every time (templates)
  14. 13.Touching circles1 question
  15. 14.Common chord1 question
  16. 15.Tangent secantNotes only
  17. 16.Chords in sequence1 question + fresh variantsIndore 2019
  18. 17.Circle triangle overlap area1 question + fresh variantsIndore 2024
  19. 18.Circle through rectangle points1 question + fresh variantsIndore 2026 (like)
  20. 19.Circle terms5 questionsJIPMAT 2023