IMO- Mathematics Olympiad Class 10: Questions 441 - 444 of 908

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Question number: 441

» Coordinate Geometry

MCQ▾

Question

The two opposite vertices of a square are (4,6)and(1,6) , so the coordinates of the other two vertices are ________

Choices

Choice (4) Response

a.

(3,213),(425,2)

b.

(52,334),(52,154)

c.

(54,68),(211,713)

d.

(25,3)(2,17)

Question number: 442

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (2,9),(a,b),(6,7)and(2,13) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

7: 2

b.

4:7

c.

3: 2

d.

2: 3

Question number: 443

» Statistics & Probability

MCQ▾

Question

If 55,68,36,28and85 occur with frequencies 3,2,4, 6and1 respectively, then the arithmetic mean is ________

Choices

Choice (4) Response

a.

34.26

b.

26.34

c.

62.43

d.

43.62

Question number: 444

» Triangle, Circle & Constructions

MCQ▾

Question

Given below are the steps of construction of a pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. find which of the following step is wrong?

  1. Step I: Take a point O on the plane paper and draw a circle of radius OA=4cm . Also, draw a concentric circle of radius OB=6cm .

  2. Step II: Find the mid-point A of OB and draw a circle of radius BA=AO . Suppose this circle intersects the circle of radius 4 cm at P and Q.

  3. Step III: Join BP and BQ to get the desired tangents.

 Given the pair of tangents to a circle of radius 4 cm

Given the Pair of Tangents to a Circle of Radius 4 Cm

Given the pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and find the which of the following step is wrong

Choices

Choice (4) Response

a.

(2) and (3)

b.

(1) and (2)

c.

Only (2)

d.

Only (1)

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