NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 210 - 211 of 2000

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Question number: 210

» Mathematics » Circles

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MCQ▾

Question

In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If and . Find .

Circle c Circle c: Circle through B with center O Arc e Arc e: Semicircle through G and H Arc d Arc d: Semicircle through I and J Segment f Segment f: Segment [B, A] Segment g Segment g: Segment [B, C] Segment h Segment h: Segment [C, D] Segment i Segment i: Segment [D, A] Segment j Segment j: Segment [D, B] Segment k Segment k: Segment [C, A] Point B B = (5.58,0.3) Point B B = (5.58,0.3) Point B B = (5.58,0.3) 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 60â° text1 = “60â°” 35â° text1_1 = “35â°”

Image of a Circle with Center O, ∠CAD = 60 and ∠BDC = 35

Representing the image of a circle with center O, ∠CAD = 60 and ∠BDC = 35

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 211

» Mathematics » Lines and Angles

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Question

Measure of in the given figure is

Triangle poly1 Triangle poly1: Polygon A, B, C Arc d Arc d: Semicircle through F and G Arc e Arc e: Semicircle through R and S Arc k Arc k: Semicircle through T and U Segment c Segment c: 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 Segment f Segment f: Segment [A, L] Segment g Segment g: Segment [M, N] Segment h Segment h: Segment [N, O] Segment i Segment i: Segment [O, P] Segment j Segment j: Segment [C, Q] Point A A = (1.43,3.78) Point A A = (1.43,3.78) Point A A = (1.43,3.78) Point B B = (-0.51,2.02) Point B B = (-0.51,2.02) Point B B = (-0.51,2.02) Point C C = (3.13,1.96) Point C C = (3.13,1.96) Point C C = (3.13,1.96) Point L Point L: Point on a Point L Point L: Point on a Point L Point L: Point on a Point Q Q = (4.87,1.98) Point Q Q = (4.87,1.98) Point Q Q = (4.87,1.98) 40â° text1_1 = “40â°” x text1 = “x” x text1_2 = “x”

Image of a Triangle with Angle a Bisector

Representing the image of a triangle with angle A bisector

Choices

Choice (4) Response

a.

b.

c.

d.

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