ICSE Board Practice

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ICSE Grade X - Angle Properties of a Circle
Question 1
1.
With the vertices of a triangle △IJK as centres, three circles are drawn touching each other externally. If the sides of the triangle are 12 cm , 17 cm and 13 cm , find the radii of the circles
  • 4 cm , 8 cm & 9 cm respectively
  • 9 cm , 13 cm & 14 cm respectively
  • 4 cm , 13 cm & 9 cm respectively
  • 9 cm , 8 cm & 9 cm respectively
  • 4 cm , 8 cm & 14 cm respectively
Question 2
2.
In the given figure, a pentagon is inscribed in a circle with centre O. Given EF = FG = GH and ∠EFG = 124°. Find ∠GOH
  • 86°
  • 56°
  • 71°
  • 61°
  • 66°
Question 3
3.
In the given figure, O is the centre of the circle. If ∠EFO = 17° and ∠OHE = 36°, find ∠FGH
  • 142°
  • 127°
  • 137°
  • 132°
  • 157°
Question 4
4.
In the given figure, which of the following angle pairs are equal?
  • {(o,t),(p,s),(q,v),(r,u)}
  • {(s,o),(q,r),(u,t),(v,p)}
  • {(u,p),(t,o),(s,r),(q,v)}
  • {(r,t),(s,p),(q,o),(u,v)}
  • {(v,t),(p,o),(q,u),(r,s)}
Question 5
5.
In the given figure, O is the centre of the circle. If ∠FIG = 72° and ∠FEH = 63°, find ∠EHG
  • 75°
  • 50°
  • 60°
  • 55°
  • 45°
Question 6
6.
Two circles with equal radii are
  • only similar but not congruent
  • concentric
  • congruent
  • not similar
Question 7
7.
In the given figure, O is the centre of the circle. If ∠JHI = 60° and ∠FGJ = 71°, find ∠HJI
  • 49°
  • 79°
  • 64°
  • 59°
  • 54°
Question 8
8.
In the given figure, the bisectors of ∠F , ∠G & ∠H of △FGH meet the circumcircle at I , J & K. If ∠F = 48°, find ∠I
  • 81°
  • 96°
  • 76°
  • 66°
  • 71°
Question 9
9.
In the given figure, H and I are centres of two circles with equal radii intersecting at J and K. If HI = 20 cm and JK = 13.2 cm, find the radii of the circles
  • 12.98 cm
  • 10.98 cm
  • 13.98 cm
  • 11.98 cm
  • 9.98 cm
Question 10
10.
△JKL is inscribed in a circle with centre O. If ∠JOK = 106° and ∠KOL = 124°, find ∠JKL
  • 65°
  • 95°
  • 75°
  • 70°
  • 80°