NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 60 - 61 of 2000

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Question number: 60

» Mathematics » Circles

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Two chords AB and CD of a circle cut each other when produced outside the circle at P. AD and BC are joined. If and . Find .

Circle c Circle c: Circle through F with center E Arc d Arc d: Semicircle through G and H Arc e Arc e: Semicircle through I and J Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [B, P] Segment h Segment h: Segment [P, D] Segment i Segment i: Segment [D, C] Segment j Segment j: Segment [C, B] Segment k Segment k: Segment [D, A] Point A A = (2.26,4.16) Point A A = (2.26,4.16) Point A A = (2.26,4.16) Point B B = (5.34,3.66) Point B B = (5.34,3.66) Point B B = (5.34,3.66) Point P P = (8.74,3.1) Point P P = (8.74,3.1) Point P P = (8.74,3.1) Point D D = (5.44,1.92) Point D D = (5.44,1.92) Point D D = (5.44,1.92) Point C C = (2.64,1.04) Point C C = (2.64,1.04) Point C C = (2.64,1.04) 30â° text1 = “30â°” 45â° text1_1 = “45â°”

Image of Two Chords AB and CD of a Circle with Outside Point P

Representing the image of two chords AB and CD of a circle with outside point P

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 61

» Mathematics » Circles

Edit
MCQ▾

Question

AB is a chord of a circle with center O and radius 25 cm. If and . Find the length of chord AB.

Choices

Choice (4) Response

a.

14 cm

b.

24 cm

c.

48 cm

d.

32 cm

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