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 cCircle c: Circle through B with center OArc dArc d: Semicircle through E and FArc eArc e: Semicircle through G and HSegment fSegment f: Segment [B, A] Segment gSegment g: Segment [A, C] Segment hSegment h: Segment [C, D] Segment iSegment i: Segment [D, O] Point OO = (3.46,2.88) Point OO = (3.46,2.88) Point OO = (3.46,2.88) Point BB = (1.06,2.88) Point BB = (1.06,2.88) Point BB = (1.06,2.88) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on c110â°text1 = “110â°”

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 poly1Quadrilateral poly1: Polygon A, B, C, DArc eArc e: Semicircle through G and HArc gArc g: Semicircle through E and FSegment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment fSegment f: Segment [C, A] Point AA = (0.22,4.84) Point AA = (0.22,4.84) Point AA = (0.22,4.84) Point BB = (-0.38,1.69) Point BB = (-0.38,1.69) Point BB = (-0.38,1.69) Point CC = (4.93,1.71) Point CC = (4.93,1.71) Point CC = (4.93,1.71) Point DD = (5.49,4.84) Point DD = (5.49,4.84) Point DD = (5.49,4.84) 85â°text1 = “85â°”40â°text1_1 = “40â°”

Image of a Parallelogram ABCD with Angle B = 85 Degrees

Choices

Choice (4)Response

a.

b.

c.

d.

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