NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 243 - 245 of 2000

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Question number: 243

» Mathematics » Lines and Angles

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Question

In the adjoining figure the value of x is

Arc c Arc c: Semicircle through F and G Arc d Arc d: Semicircle through H and I Arc e Arc e: Semicircle through J and K Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [C, E] Segment i Segment i: Segment [E, A] Point A A = (-1.48,2.22) Point A A = (-1.48,2.22) Point A A = (-1.48,2.22) Point B B = (3.12,2.22) Point B B = (3.12,2.22) Point B B = (3.12,2.22) Point C C = (-1.04,0.2) Point C C = (-1.04,0.2) Point C C = (-1.04,0.2) Point D D = (3.18,0.18) Point D D = (3.18,0.18) Point D D = (3.18,0.18) Point E E = (-2.28,1.14) Point E E = (-2.28,1.14) Point E E = (-2.28,1.14) x text1 = “x” 105â° text1_1 = “105â°” 125â° text1_2 = “125â°”

Image of an Adjoining Figure Made by Some Lines Making a Pentagon

Representing the image of an adjoining figure made by some lines and making an unknown angle

Choices

Choice (4) Response

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b.

c.

d.

Question number: 244

» Mathematics » Lines and Angles

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In the following, the set of measures which can form a triangle

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 245

» Mathematics » Circles

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In the given figure, POQ is a diameter of a circle with center O and PQRS is a cyclic quadrilateral. SQ is joined. If , find .

Quadrilateral poly1 Quadrilateral poly1: Polygon P, Q, R, S Circle c Circle c: Circle through B with center O Arc f Arc f: Semicircle through A and C Segment a Segment a: Segment [P, Q] of Quadrilateral poly1 Segment c_1 Segment c_1: Segment [Q, R] of Quadrilateral poly1 Segment d Segment d: Segment [R, S] of Quadrilateral poly1 Segment e Segment e: Segment [S, P] of Quadrilateral poly1 Segment g Segment g: Segment [S, Q] Point P Point P: Point on c Point P Point P: Point on c Point P Point P: Point on c Point Q Point Q: Point on c Point Q Point Q: Point on c Point Q Point Q: Point on c Point R Point R: Point on c Point R Point R: Point on c Point R Point R: Point on c Point S Point S: Point on c Point S Point S: Point on c Point S Point S: Point on c 139â° text1 = “139â°”

Image of a Circle with Diameter PQ

Representing the image of a circle with diameter PQ

Choices

Choice (4) Response

a.

b.

c.

d.

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