Triangles and Circles (IMO- Mathematics Olympiad Class 9): Questions 1 - 4 of 79

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Question number: 1

» Triangles and Circles

MCQ▾

Question

In the adjoining figure, circles with centres at L, M and N each have a radius of 2 units and are placed as shown here. If PQRS is the smallest rectangle that will enclose the 3 circles, what is the area of PQRS?

image define in the adjoining figure,circles with centresL,M,N

Image Define in the Adjoining Figure, Circles With centresL, M, N

here in image define in the adjoining figure, circles with centres at L, M and N each have a radius of 2 units and are placed as shown here then find the area of PQRS

Choices

Choice (4) Response
a.

16 sq. units

b.

12 sq. units

c.

8 sq. units

d.

32 sq. units

Question number: 2

» Triangles and Circles

MCQ▾

Question

ABCD is a trapezium, in which ABDC,ADAB and E & F are points on AD & BC respectively. BD is joined. If EFC=110° , ABD=60° , BDC=x° and DCF=y° , then values of x and y are ________

Choices

Choice (4) Response
a.

30°,100°

b.

50°,80°

c.

60°,70°

d.

90°,40°

Question number: 3

» Triangles and Circles

MCQ▾

Question

If a right triangle has sides of length 1 and 2 , which of the following could be the length of the remaining side?

  1. 1

  2. 2

  3. 3

Choices

Choice (4) Response
a.

2 Only

b.

1 And 3 Only

c.

1 Only

d.

3 Only

Question number: 4

» Triangles and Circles

MCQ▾

Question

In sABC and PQR , AB=PQ , BC=QR are extended to X and Y respectively and ABX=PQY . Under which congruency criterion, the triangles are congruent?

Choices

Choice (4) Response
a.

SAS

b.

SAA

c.

SSA

d.

SSS

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