NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 214 - 215 of 2000

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Question number: 214

» Mathematics » Circles

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MCQ▾

Question

Triangle ABC is inscribed in a circle. If then BC is equal to

Triangle poly1Triangle poly1: Polygon A, B, CCircle cCircle c: Circle through B_1 with center C_1Arc dArc d: Semicircle through D and EArc eArc e: Semicircle through F and GSegment c_1Segment c_1: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cXâ°text1 = “Xâ°”Xâ°text1_2 = “Xâ°”

Image of a Triangle ABC That is Inscribed in a Circle

Choices

Choice (4)Response

a.

12 cm

b.

3 cm

c.

Cannot be determined from given data

d.

6 cm

Question number: 215

» Mathematics » Circles

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MCQ▾

Question

In the given figure, ABCD is a cyclic quadrilateral in which . Find .

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DCircle cCircle c: Circle through B with center OArc eArc e: Semicircle through E and FSegment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment c_1Segment c_1: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Point BB = (3.5,0.32) Point BB = (3.5,0.32) Point BB = (3.5,0.32) 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 cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on c100â°text1 = “100â°”

Image of a Cyclic Quadrilateral ABCD in the Circle

Choices

Choice (4)Response

a.

b.

c.

d.

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