Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 197 - 201 of 989

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Question 197

Mathematics
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Question

MCQ▾

One of the diagonals of a rhombus is equal to a side of the rhombus. The angles of the rhombus are:

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

Question 198

Mathematics
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Question

MCQ▾

In a circle, the major arc is twice the minor arc. The corresponding central angles and the degree measures of the two arcs are

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

Question 199

Mathematics
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Question

MCQ▾

Two sides of a triangle are 5 and 13 units. Which of the following length can be the length of the third side?

Choices

Choice (4)Response

a.

20 cm

b.

9 cm

c.

18 cm

d.

13 cm

Question 200

Mathematics
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Question

MCQ▾

A triangle ABC is inscribed in a circle, and the bisectors of the angles meet the circumference at X, Y, Z. The angles of the triangle X, Y, Z are respectively

Choices

Choice (4)Response

a.

b.

c.

d.

Question 201

Mathematics
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Question

MCQ▾

In the given figure, O is the center of a circle. If and then ________.

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, C] Segment gSegment g: Segment [A, B] Segment hSegment h: Segment [B, C] Segment iSegment i: Segment [A, D] Segment jSegment j: Segment [D, C] Point OO = (3.42,2.8) Point OO = (3.42,2.8) Point OO = (3.42,2.8) Point BB = (3.34,0.68) Point BB = (3.34,0.68) Point BB = (3.34,0.68) 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 c72â°text1 = “72â°”78â°text1_1 = “78â°”

Image of a Circle with Center O and ∠DAC = 72 and ∠ACB = 78 Degrees

Choices

Choice (4)Response

a.

b.

c.

d.