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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Question

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

Triangle poly1 Triangle poly1: Polygon A, B, C Circle c Circle c: Circle through B_1 with center C_1 Arc d Arc d: Semicircle through D and E Arc e Arc e: Semicircle through F and G Segment c_1 Segment c_1: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Point A Point A: Point on c Point A Point A: Point on c Point A Point A: Point on c Point B Point B: Point on c Point B Point B: Point on c Point B Point B: Point on c Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c Xâ° text1 = “Xâ°” Xâ° text1_2 = “Xâ°”

Image of a Triangle ABC That is Inscribed in a Circle

Representing the 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 poly1 Quadrilateral poly1: Polygon A, B, C, D Circle c Circle c: Circle through B with center O Arc e Arc e: Semicircle through E and F Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c_1 Segment c_1: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Point B B = (3.5,0.32) Point B B = (3.5,0.32) Point B B = (3.5,0.32) Point A Point A: Point on c Point A Point A: Point on c Point A Point A: Point on c Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c Point D Point D: Point on c Point D Point D: Point on c Point D Point D: Point on c 100â° text1 = “100â°”

Image of a Cyclic Quadrilateral ABCD in the Circle

Representing the image of a cyclic quadrilateral ABCD in the circle

Choices

Choice (4) Response

a.

b.

c.

d.

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