NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 243 - 245 of 2000

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Question number: 243

» Mathematics » Lines and Angles

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In the adjoining figure the value of x is

Arc cArc c: Semicircle through F and GArc dArc d: Semicircle through H and IArc eArc e: Semicircle through J and KSegment fSegment f: Segment [A, B] Segment gSegment g: Segment [C, D] Segment hSegment h: Segment [C, E] Segment iSegment i: Segment [E, A] Point AA = (-1.48,2.22) Point AA = (-1.48,2.22) Point AA = (-1.48,2.22) Point BB = (3.12,2.22) Point BB = (3.12,2.22) Point BB = (3.12,2.22) Point CC = (-1.04,0.2) Point CC = (-1.04,0.2) Point CC = (-1.04,0.2) Point DD = (3.18,0.18) Point DD = (3.18,0.18) Point DD = (3.18,0.18) Point EE = (-2.28,1.14) Point EE = (-2.28,1.14) Point EE = (-2.28,1.14) xtext1 = “x”105â°text1_1 = “105â°”125â°text1_2 = “125â°”

Image of an Adjoining Figure Made by Some Lines Making a Pentagon

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Question number: 244

» Mathematics » Lines and Angles

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In the following, the set of measures which can form a triangle

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Question number: 245

» Mathematics » Circles

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In the given figure, POQ is a diameter of a circle with center O and PQRS is a cyclic quadrilateral. SQ is joined. If , find .

Quadrilateral poly1Quadrilateral poly1: Polygon P, Q, R, SCircle cCircle c: Circle through B with center OArc fArc f: Semicircle through A and CSegment aSegment a: Segment [P, Q] of Quadrilateral poly1Segment c_1Segment c_1: Segment [Q, R] of Quadrilateral poly1Segment dSegment d: Segment [R, S] of Quadrilateral poly1Segment eSegment e: Segment [S, P] of Quadrilateral poly1Segment gSegment g: Segment [S, Q] Point PPoint P: Point on cPoint PPoint P: Point on cPoint PPoint P: Point on cPoint QPoint Q: Point on cPoint QPoint Q: Point on cPoint QPoint Q: Point on cPoint RPoint R: Point on cPoint RPoint R: Point on cPoint RPoint R: Point on cPoint SPoint S: Point on cPoint SPoint S: Point on cPoint SPoint S: Point on c139â°text1 = “139â°”

Image of a Circle with Diameter PQ

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