Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 100 - 102 of 989

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Question 100

Mathematics
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Question

MCQ▾

AB is a chord of a circle with center O and radius 13 cm. If and . Find the length of chord AB.

Choices

Choice (4)Response

a.

24 cm

b.

8 cm

c.

12 cm

d.

48 cm

Question 101

Mathematics
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Question

MCQ▾

In a trapezium ABCD, . If , then ?

Choices

Choice (4)Response

a.

80°

b.

15°

c.

d.

105°

Question 102

Mathematics
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Question

MCQ▾

In the figure, and . If the exterior angle CAX is then the angle HCK is

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through D and ESegment 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 [H, K] Segment gSegment g: Segment [H, C] Segment hSegment h: Segment [A, X] Point AA = (-1.66,2) Point AA = (-1.66,2) Point AA = (-1.66,2) Point BB = (-3.38, -1.48) Point BB = (-3.38, -1.48) Point BB = (-3.38, -1.48) Point CC = (0.3, -1.5) Point CC = (0.3, -1.5) Point CC = (0.3, -1.5) Point HPoint H: Point on cPoint HPoint H: Point on cPoint HPoint H: Point on cPoint KPoint K: Point on bPoint KPoint K: Point on bPoint KPoint K: Point on bPoint XX = (-0.96,3.38) Point XX = (-0.96,3.38) Point XX = (-0.96,3.38) 130â°text1 = “130â°”

Image of a Triangle ABC in Which AB = AC, CH = CB and HK∥BC

Choices

Choice (4)Response

a.

b.

c.

d.