Triangles and Circles (IMO- Mathematics Olympiad (SOF) Class 9): Questions 57 - 61 of 79

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Question number: 57

» Triangles and Circles

MCQ▾

Question

The centroid of a triangle divides each median in the ratio ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 58

» Triangles and Circles

MCQ▾

Question

The point concurrency of altitudes of a triangle is called ________

Choices

Choice (4) Response

a.

Orthocenter

b.

Incenter

c.

Circumcenter

d.

Centroid

Question number: 59

» Triangles and Circles

MCQ▾

Question

In figure, S is any point on the side QR of, then ________

S is any point on the side QR of triangle PQR

S Is Any Point on the Side QR of Triangle PQR

S is any point on the side QR of triangle PQR find Sum of PQ, QR and RP less than value

Choices

Choice (4) Response

a.

PS

b.

2PS

c.

4PS

d.

None of the above

Question number: 60

» Triangles and Circles

MCQ▾

Question

In the figure , and . If the exterior angle CAX is, then the angle KHC is ________

Given AB=AC, CH=CB and HK is parallel to BC.Exterior angle CAX

Given AB = AC, CH = CB and HK Is Parallel to BC. Exterior Angle CAX

Given AB = AC, CH = CB and HK is parallel to BC. If the exterior angle CAX is 140 find the angle KHC

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 61

» Triangles and Circles

MCQ▾

Question

In, and the bisector of meets BC at P. then the ascending order of sides is ________

The triangle ABC angle B and C are respectively 45 and 65

The Triangle ABC Angle B and C Are Respectively 45 and 65

Given the triangle ABC angle B and C are respectively 45 and 65 and the bisector of BAC meets BC at P find the ascending order of sides

Choices

Choice (4) Response

a.

b.

c.

d.

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