# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 473 - 479 of 968

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## Question number: 473

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MCQ▾

### Question

The coordinates of the mid-points of the sides of a triangle are . What will be the coordinates of the centroid of the triangle?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 474

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MCQ▾

### Question

The area of triangle formed by the points is 70 units. How many integral values of p are possible?

### Choices

Choice (4)Response

a.

3

b.

2

c.

4

d.

None of the above

## Question number: 475

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MCQ▾

### Question

In an equilateral triangle PQR, This side QR is trisected at S, then ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 476

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MCQ▾

### Question

In the given figure, if and , then ________ Given the BA is Parallel to LK and BC is Parallel to LM

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 477

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MCQ▾

### Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are .

### Choices

Choice (4)Response

a.

8

b.

7

c.

14

d.

11

## Question number: 478

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MCQ▾

### Question

Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 3 is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 479

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MCQ▾

### Question

XYZ is an isosceles triangle. If the coordinates of the base are , then the coordinates of the vertex Z can be

### Choices

Choice (4)Response

a.

b.

c.

d.

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