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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Question

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

Circle cCircle c: Circle through B with center OArc eArc e: Semicircle through G and HArc dArc d: Semicircle through I and JSegment fSegment f: Segment [B, A] Segment gSegment g: Segment [B, C] Segment hSegment h: Segment [C, D] Segment iSegment i: Segment [D, A] Segment jSegment j: Segment [D, B] Segment kSegment k: Segment [C, A] Point BB = (5.58,0.3) Point BB = (5.58,0.3) Point BB = (5.58,0.3) 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 c60â°text1 = “60â°”35â°text1_1 = “35â°”

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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Measure of in the given figure is

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through F and GArc eArc e: Semicircle through R and SArc kArc k: Semicircle through T and USegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [A, L] Segment gSegment g: Segment [M, N] Segment hSegment h: Segment [N, O] Segment iSegment i: Segment [O, P] Segment jSegment j: Segment [C, Q] Point AA = (1.43,3.78) Point AA = (1.43,3.78) Point AA = (1.43,3.78) Point BB = (-0.51,2.02) Point BB = (-0.51,2.02) Point BB = (-0.51,2.02) Point CC = (3.13,1.96) Point CC = (3.13,1.96) Point CC = (3.13,1.96) Point LPoint L: Point on aPoint LPoint L: Point on aPoint LPoint L: Point on aPoint QQ = (4.87,1.98) Point QQ = (4.87,1.98) Point QQ = (4.87,1.98) 40â°text1_1 = “40â°”xtext1 = “x”xtext1_2 = “x”

Image of a Triangle with Angle a Bisector

Choices

Choice (4)Response

a.

b.

c.

d.

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