Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 249 - 250 of 989

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Question 249

Mathematics
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Question

MCQ▾

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

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through D and EArc eArc e: Semicircle through F and GArc fArc f: Semicircle through H and ISegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment gSegment g: Segment [A, P] Point AA = (-0.24,3.3) Point AA = (-0.24,3.3) Point AA = (-0.24,3.3) Point BB = (-2.74,0.3) Point BB = (-2.74,0.3) Point BB = (-2.74,0.3) Point CC = (1.22,0.36) Point CC = (1.22,0.36) Point CC = (1.22,0.36) Point PPoint P: Point on aPoint PPoint P: Point on aPoint PPoint P: Point on a60â°text1 = “60â°”45â°text1_1 = “45â°”75â°text1_2 = “75â°”

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 250

Mathematics
Edit

Question

MCQ▾

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 cCircle c: Circle through B with center OArc dArc d: Semicircle through G and HSegment fSegment f: Segment [A, C] Segment gSegment g: Segment [C, D] Segment hSegment h: Segment [A, E] Segment iSegment i: Segment [C, F] Point OO = (5.58, -0.68) Point OO = (5.58, -0.68) Point OO = (5.58, -0.68) Point BB = (5.58,1.74) Point BB = (5.58,1.74) Point BB = (5.58,1.74) Point AA = (2.94,1.78) Point AA = (2.94,1.78) Point AA = (2.94,1.78) Point CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint DD = (5.66, -3.86) Point DD = (5.66, -3.86) Point DD = (5.66, -3.86) 45â°text1 = “45â°”

Image of a Circle with Two Tangents at Two Points

Choices

Choice (4)Response

a.

b.

c.

d.

6 cm