Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 51 - 52 of 989

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Question number: 51

» Mathematics » Circles

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MCQ▾

Question

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 cCircle c: Circle through F with center EArc dArc d: Semicircle through G and HArc eArc e: Semicircle through I and JSegment fSegment f: Segment [A, B] Segment gSegment g: Segment [B, P] Segment hSegment h: Segment [P, D] Segment iSegment i: Segment [D, C] Segment jSegment j: Segment [C, B] Segment kSegment k: Segment [D, A] Point AA = (2.26,4.16) Point AA = (2.26,4.16) Point AA = (2.26,4.16) Point BB = (5.34,3.66) Point BB = (5.34,3.66) Point BB = (5.34,3.66) Point PP = (8.74,3.1) Point PP = (8.74,3.1) Point PP = (8.74,3.1) Point DD = (5.44,1.92) Point DD = (5.44,1.92) Point DD = (5.44,1.92) Point CC = (2.64,1.04) Point CC = (2.64,1.04) Point CC = (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

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 52

» Mathematics » Circles

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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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