NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 157 - 158 of 2000

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Question number: 157

» Mathematics » Circles

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MCQ▾

Question

Which of the following statement (s) is/are true?

Choices

Choice (4)Response

a.

Sum of opposite angles of cyclic quadrilateral is

b.

If one side of a cyclic quadrilateral is produced, the exterior angle so formed is equal to the interior opposite angle

c.

A cyclic parallelogram is a rectangle

d.

All a. , b. and c. are correct

Question number: 158

» Mathematics » Quadrilaterals

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MCQ▾

Question

In the adjoining figure ABCD, the angles x and y are

Quadrilateral poly1Quadrilateral poly1: Polygon Q, R, S, PArc eArc e: Semicircle through E and FArc gArc g: Semicircle through F and GArc hArc h: Semicircle through H and IArc kArc k: Semicircle through I and JSegment aSegment a: Segment [Q, R] of Quadrilateral poly1Segment bSegment b: Segment [R, S] of Quadrilateral poly1Segment cSegment c: Segment [S, P] of Quadrilateral poly1Segment dSegment d: Segment [P, Q] of Quadrilateral poly1Segment fSegment f: Segment [Q, S] Point QQ = (-0.06,2.16) Point QQ = (-0.06,2.16) Point QQ = (-0.06,2.16) Point RR = (3.74,2.15) Point RR = (3.74,2.15) Point RR = (3.74,2.15) Point SS = (2.96,4.78) Point SS = (2.96,4.78) Point SS = (2.96,4.78) Point PP = (-0.58,4.8) Point PP = (-0.58,4.8) Point PP = (-0.58,4.8) 55â°text1 = “55â°”35â°text1_1 = “35â°”ytext1_2 = “y”xtext1_3 = “x”

Image of an Adjoining Figure PQRS

Choices

Choice (4)Response

a.

b.

c.

d.

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