NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 74 - 75 of 2000

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Question number: 74

» Mathematics » Circles

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In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If and . 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 [A, B] Segment gSegment g: Segment [B, C] Segment hSegment h: Segment [C, D] Segment iSegment i: Segment [D, A] Segment jSegment j: Segment [B, D] Segment kSegment k: Segment [C, A] Point BB = (2.98,0.32) Point BB = (2.98,0.32) Point BB = (2.98,0.32) 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 c40â°text1 = “40â°”50â°text1_1 = “50â°”

Image of a Quadrilateral ABCD Inscribed in a Circle

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 75

» Mathematics » Circles

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MCQ▾

Question

The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends on the longer segment of the circle is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

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