Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 307 - 308 of 989

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Question 307

Mathematics
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Question

MCQ▾

In the following figure, O is the center of the circle. Find the value of x.

Circle cCircle c: Circle through B with center OArc dArc d: Semicircle through E and FArc eArc e: Semicircle through G and HArc pArc p: Semicircle through I and JSegment fSegment f: Segment [B, O] Segment gSegment g: Segment [B, A] Segment hSegment h: Segment [A, C] Segment iSegment i: Segment [C, D] Segment jSegment j: Segment [D, O] Segment kSegment k: Segment [B, C] Point OO = (3.42,3.2) Point OO = (3.42,3.2) Point OO = (3.42,3.2) Point BB = (1.78,1.44) Point BB = (1.78,1.44) Point BB = (1.78,1.44) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on c30â°text1 = “30â°”50â°text1_1 = “50â°”xâ°text1_2 = “xâ°”

Image of a Circle with Center O, ∠BAC = 30 and ∠CBD = 50

Choices

Choice (4)Response

a.

b.

c.

d.

Question 308

Mathematics
Edit

Question

MCQ▾

C is the center of the circle as shown in the diagram below. Then is equal to

Circle cCircle c: Circle through B with center CArc dArc d: Semicircle through G and HArc eArc e: Semicircle through I and GArc hArc h: Semicircle through J and ISegment fSegment f: Segment [A, D] Segment gSegment g: Segment [E, F] Point CC = (4.76, -0.26) Point CC = (4.76, -0.26) Point CC = (4.76, -0.26) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint EPoint E: Point on cPoint EPoint E: Point on cPoint EPoint E: Point on cPoint FPoint F: Point on cPoint FPoint F: Point on cPoint FPoint F: Point on cxâ°text1 = “xâ°”125â°text1_1 = “125â°”yâ°text1_2 = “yâ°”

Image of a Circle Having Center C

Choices

Choice (4)Response

a.

b.

c.

d.