NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 141 - 142 of 2000

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Question number: 141

» Mathematics » Circles

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Question

In the given figure, AOB is a diameter of a circle with center O. If , 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, O] Point O O = (3.46,2.88) Point O O = (3.46,2.88) Point O O = (3.46,2.88) Point B B = (1.06,2.88) Point B B = (1.06,2.88) Point B B = (1.06,2.88) 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 110â° text1 = “110â°”

Image of a Circle with Center O and ∠BOD = 110

Representing the image of a circle with center O and ∠BOD = 110

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 142

» Mathematics » Quadrilaterals

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From the figure parallelogram ABCD the value of and are

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Arc e Arc e: Semicircle through G and H Arc g Arc g: 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 Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment f Segment f: Segment [C, A] Point A A = (0.22,4.84) Point A A = (0.22,4.84) Point A A = (0.22,4.84) Point B B = (-0.38,1.69) Point B B = (-0.38,1.69) Point B B = (-0.38,1.69) Point C C = (4.93,1.71) Point C C = (4.93,1.71) Point C C = (4.93,1.71) Point D D = (5.49,4.84) Point D D = (5.49,4.84) Point D D = (5.49,4.84) 85â° text1 = “85â°” 40â° text1_1 = “40â°”

Image of a Parallelogram ABCD with Angle B = 85 Degrees

Representing the image of a parallelogram ABCD with angle B = 85 degrees

Choices

Choice (4) Response

a.

b.

c.

d.

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