NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 349 - 350 of 2000

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Question number: 349

» Mathematics » Circles

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MCQ▾

Question

In the given figure, two chord AB and CD of a circle intersect each other at a point O such that . Then find .

Circle c Circle c: Circle through B with center O Arc d Arc d: Semicircle through E and F Arc e Arc e: Semicircle through G and H Segment f Segment f: Segment [B, A] Segment g Segment g: Segment [A, C] Segment h Segment h: Segment [C, D] Segment i Segment i: Segment [D, B] Point O O = (3.3,2.58) Point O O = (3.3,2.58) Point O O = (3.3,2.58) Point B B = (4.98,1) Point B B = (4.98,1) Point B B = (4.98,1) 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 50â° text1 = “50â°” 115â° text1_1 = “115â°”

Image of a Circle with Two Chords AB and CD

Representing the image of a circle with two chords AB and CD

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 350

» Mathematics » Circles

Edit
MCQ▾

Question

In the following figure, O is the center of the circle. Find the value of x.

Circle c Circle c: Circle through B with center O Arc d Arc d: Semicircle through E and F Arc e Arc e: Semicircle through G and H Arc p Arc p: Semicircle through I and J Segment f Segment f: Segment [B, O] Segment g Segment g: Segment [B, A] Segment h Segment h: Segment [A, C] Segment i Segment i: Segment [C, D] Segment j Segment j: Segment [D, O] Segment k Segment k: Segment [B, C] Point O O = (3.42,3.2) Point O O = (3.42,3.2) Point O O = (3.42,3.2) Point B B = (1.78,1.44) Point B B = (1.78,1.44) Point B B = (1.78,1.44) 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 30â° text1 = “30â°” 50â° text1_1 = “50â°” xâ° text1_2 = “xâ°”

Image of a Circle with Center O, ∠BAC = 30 and ∠CBD = 50

Representing the image of a circle with center O, ∠BAC = 30 and ∠CBD = 50

Choices

Choice (4) Response

a.

b.

c.

d.

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