Triangles and Circles (IMO- Mathematics Olympiad Class 9): Questions 41 - 45 of 79

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Question number: 41

» Triangles and Circles

MCQ▾

Question

The point concurrency of medians of a triangle is called ________.

Choices

Choice (4) Response

a.

Incenter

b.

Centroid

c.

Orthocenter

d.

Circumcenter

Question number: 42

» Triangles and Circles

MCQ▾

Question

An exterior angle of a triangle is 110˚ and one of the interior opposite angle is 40˚. Then the other two angles of a triangle are

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 43

» Triangles and Circles

MCQ▾

Question

In the figure, If and if, then MT will be ________

Choices

Choice (4) Response

a.

18 cm

b.

30 cm

c.

90 cm

d.

20 cm

Question number: 44

» Triangles and Circles

MCQ▾

Question

In triangle ABC, the altitude from A to BC meets BC at D, and the altitude from B to CA meets AD at H. if , and , if then the length of HD is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 45

» Triangles and Circles

MCQ▾

Question

A1 is a circle of radius 8 cm, A2 is a circle of radius 12 cm. Shivangi wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances?

Choices

Choice (4) Response

a.

5 cm and 19 cm

b.

4 cm and 20 cm

c.

16 cm and 8 cm

d.

12 cm and 4 cm

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