NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 284 - 285 of 2000

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Question number: 284

» Mathematics » Lines and Angles

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MCQ▾

Question

In and the bisector of meets BC at P. Then the ascending order of sides is

Triangle poly1 Triangle poly1: Polygon A, B, C Arc d Arc d: Semicircle through D and E Arc e Arc e: Semicircle through F and G Arc f Arc f: Semicircle through H and I Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment g Segment g: Segment [A, P] Point A A = (-0.24,3.3) Point A A = (-0.24,3.3) Point A A = (-0.24,3.3) Point B B = (-2.74,0.3) Point B B = (-2.74,0.3) Point B B = (-2.74,0.3) Point C C = (1.22,0.36) Point C C = (1.22,0.36) Point C C = (1.22,0.36) Point P Point P: Point on a Point P Point P: Point on a Point P Point P: Point on a 60â° text1 = “60â°” 45â° text1_1 = “45â°” 75â° text1_2 = “75â°”

Image of a Triangle ABC in Which B = 45 Degree and C = 75 Degree

Representing the image of a triangle ABC in which B = 45 degree and C = 75 degree

Choices

Choice (4) Response

a.

AP, BP, CP

b.

CP, BP, AP

c.

BP, AP, CP

d.

AP, CP, BP

Question number: 285

» Mathematics » Circles

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Question

In the figure given below O is the center of the circle. Line AB intersects the circle only at point B and line DC intersects the circle only at point C. If the circle has a radius of 3 cm, then AC is

Circle c Circle c: Circle through B with center O Arc d Arc d: Semicircle through G and H Segment f Segment f: Segment [A, C] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [A, E] Segment i Segment i: Segment [C, F] Point O O = (5.58, -0.68) Point O O = (5.58, -0.68) Point O O = (5.58, -0.68) Point B B = (5.58,1.74) Point B B = (5.58,1.74) Point B B = (5.58,1.74) Point A A = (2.94,1.78) Point A A = (2.94,1.78) Point A A = (2.94,1.78) Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c Point D D = (5.66, -3.86) Point D D = (5.66, -3.86) Point D D = (5.66, -3.86) 45â° text1 = “45â°”

Image of a Circle with Two Tangents at Two Points

Representing the image of a circle with two tangents at two points

Choices

Choice (4) Response

a.

b.

c.

d.

6 cm

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