# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 440 - 444 of 968

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## Question number: 440

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MCQ▾

### Question

The two opposite vertices of a square are , so the coordinates of the other two vertices are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 441

Edit
MCQ▾

### Question

The two opposite vertices of a square are , so the coordinates of the other two vertices are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 442

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MCQ▾

### Question

Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?

### Choices

Choice (4)Response

a.

7: 2

b.

c.

3: 2

d.

2: 3

## Question number: 443

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MCQ▾

### Question

If occur with frequencies respectively, then the arithmetic mean is ________

### Choices

Choice (4)Response

a.

62.43

b.

26.34

c.

43.62

d.

34.26

## Question number: 444

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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 . Also, draw a concentric circle of radius .

2. Step II: Find the mid-point A of OB and draw a circle of radius . 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.

### Choices

Choice (4)Response

a.

(1) and (2)

b.

Only (2)

c.

Only (1)

d.

(2) and (3)

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