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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 10 of 35 matching questions (47 marks).

10 questions

2(iv)

In the given figure O is the centre of the circle. PQ and PR are tangents and ∠QPR = 70° Calculate:

Figure for this question
7(c)

In the given figure TP and TQ are two tangents to the circle with centre O, touching at A and C respectively. If ∠BCQ = 55° and ∠BAP = 60°,

Figure for this question
7(c)

find :

8(b)

In the given figure PQ is a tangent to the circle at A, AB and AD are bisectors of ∠CAQ and ∠PAC. If ∠BAQ = 30°, prove that:

Figure for this question
8(b)

Draw a line AB = 5 cm. Mark a point C on AB such that AC = 3 cm. Using a ruler and a compass only, construct :