Triangles and Circles (IMO- Mathematics Olympiad Class 9): Questions 33 - 37 of 79

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Question number: 33

» Triangles and Circles

MCQ▾

Question

Triangle AXY is formed by three tangents to circle with center Z and XAY=60˚ , then angle XYZ equals ________

Image of triangle AXY is formed by three tangents to circle

Image of Triangle AXY Is Formed by Three Tangents to Circle

Triangle AXY is formed by three tangents to circle with center Z then find the angle XYZ equals value

Choices

Choice (4) Response

a.

65°

b.

55°

c.

80°

d.

60°

Question number: 34

» Triangles and Circles

MCQ▾

Question

A running track is the ring formed by two concentric circles. It is 45 feet wide. The circumferences of the two circles differ by about ________

Choices

Choice (4) Response

a.

230 feet

b.

200 feet

c.

260 feet

d.

280 feet

Question number: 35

» Triangles and Circles

MCQ▾

Question

In the given figure, PQ>PR and QS, RS are the bisectors of Q and R , then ________

Given the triangle PQR and 2 bisectors

Given the Triangle PQR and 2 Bisectors

Given the triangle PQR and QS, RS are the bisectors of Q and R

Choices

Choice (4) Response

a.

SQ=SR

b.

SQ>SR

c.

SQ=12SR

d.

SQ<SR

Question number: 36

» Triangles and Circles

MCQ▾

Question

In the figure, AD is the bisector of A of ABC , then ________

Given the triangle ABC and if AD is bisector of angle A

Given the Triangle ABC and if AD Is Bisector of Angle A

Given the triangle ABC and AD is a bisector of angle A

Choices

Choice (4) Response

a.

AB>BD

b.

AB=BD

c.

AB=BD

d.

AB<BD

Question number: 37

» Triangles and Circles

MCQ▾

Question

If two medians of a triangle are equal, then the triangle is ________

Choices

Choice (4) Response

a.

Scalene triangle

b.

Equilateral triangle

c.

Right angle triangle

d.

Isosceles triangle

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