NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 171 - 172 of 2000

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Question number: 171

» Mathematics » Circles

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Question

In the given figure, is inscribed in a circle with center O. If , find .

Circle cCircle c: Circle through B with center OArc dArc d: Semicircle through D and ESegment fSegment f: Segment [A, O] Segment gSegment g: Segment [O, B] Segment hSegment h: Segment [A, C] Segment iSegment i: Segment [C, B] Point OO = (3.26,2.9) Point OO = (3.26,2.9) Point OO = (3.26,2.9) Point BB = (5.44,2.92) Point BB = (5.44,2.92) Point BB = (5.44,2.92) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on c55â°text1 = “55â°”

Image of a ∆ABC is Inscribed in a Circle with Center O

Choices

Choice (4)Response

a.

Cannot be determined

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 172

» Mathematics » Lines and Angles

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In the figure, measure of is

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through F and GArc eArc e: Semicircle through H and ISegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Point AA = (1.38,5.15) Point AA = (1.38,5.15) Point AA = (1.38,5.15) Point BB = (0.27,1.95) Point BB = (0.27,1.95) Point BB = (0.27,1.95) Point CC = (3.13,1.96) Point CC = (3.13,1.96) Point CC = (3.13,1.96) 35â°text1 = “35â°”45â°text1_1 = “45â°”xâ°text1_2 = “xâ°”

Image of a Triangle in Which Two Angles Are 35 and 45 Degrees

Choices

Choice (4)Response

a.

b.

c.

d.

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