NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 349 - 350 of 2000

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Question number: 349

» Mathematics » Circles

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Question

In the given figure, two chord AB and CD of a circle intersect each other at a point O such that . Then find .

Circle cCircle c: Circle through B with center OArc dArc d: Semicircle through E and FArc eArc e: Semicircle through G and HSegment fSegment f: Segment [B, A] Segment gSegment g: Segment [A, C] Segment hSegment h: Segment [C, D] Segment iSegment i: Segment [D, B] Point OO = (3.3,2.58) Point OO = (3.3,2.58) Point OO = (3.3,2.58) Point BB = (4.98,1) Point BB = (4.98,1) Point BB = (4.98,1) 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 c50â°text1 = “50â°”115â°text1_1 = “115â°”

Image of a Circle with Two Chords AB and CD

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 350

» Mathematics » Circles

Edit
MCQ▾

Question

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.

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