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ICSE Question Bank

Tangents and Intersecting Chords

Appeared in 9 of the 11 available papers.

Examined in
9 of 11 papers

Appears in most years

Typically worth
5.2 marks

Average per paper it appears in · 47 marks in total

Usual form
Numerical

80% of this chapter's 35 questions

Needs a diagram
86%

30 questions carry a figure — practise drawing them

Question-type distribution

  • Numerical28
  • MCQ3
  • Construction2
  • Proof2

Most frequent topics

Tangents / intersecting chords 32Tangents / chords 3
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Showing 25 of 35 matching questions (47 marks).

25 questions

1

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9(iii)

X, Y, Z and C are the points on the circumference of a circle with centre O. AB is a tangent to the circle at X and ZY = XY. Given ∠OBX = 32° and ∠AXZ = 66°. Find:

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10(ii)

In the given diagram O is the centre of the circle. Chord SR produced meets the tangent XTP at P.

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1

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3(ii)

In the given diagram, O is the centre of the circle. PR and PT are two tangents drawn from the external point P and touching the circle at Q and S respectively. MN is a diameter of the circle. Given ∠PQM = 42° and ∠PSM = 25°. Find :

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7(i)

In the given diagram, an isosceles ∆ABC is inscribed in a circle with centre O. PQ is a tangent to the circle at C. OM is perpendicular to chord AC and ∠COM = 65°. Find :

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1

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2(iii)

In the given figure O, is the centre of the circle. CE is a tangent to the circle at A. If ∠ABD = 26° , then find:

Figure for this question
4(iii)

In the given figure, O is the center of the circle. PQ is a tangent to the circle at T. Chord AB produced meets the tangent at P. AB = 9 cm, BP = 16 cm, ∠PTB = 50°, ∠OBA = 45°. Find :