# IMO- Mathematics Olympiad Class 9: Questions 449 - 454 of 919

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## Question number: 449

MCQ▾

### Question

The locus of a point equidistant from the three sides of a triangle is ________

### Choices

Choice (4) Response

a.

Circumcenter

b.

Centroid

c.

Incenter

d.

Orthocenter

## Question number: 450

MCQ▾

### Question

The distance between the points P (-4, -3) and Q (5, 6) is calculated as

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 451

MCQ▾

### Question

The and are right angles. If , and , then the length of XZ is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 452

MCQ▾

### Question

If the point (5, 7) lies on the graph of the equation, find the value of a.

### Choices

Choice (4) Response

a.

7

b.

9

c.

6

d.

8

## Question number: 453

MCQ▾

### Question

A rectangular field has its length and breadth in the ratio. Its area is 0.9 hectares. The cost of fencing it at RS. 10 per meter is ________

### Choices

Choice (4) Response

a.

Rs. 6200

b.

Rs. 7400

c.

Rs. 4200

d.

Rs. 5200

## Question number: 454

MCQ▾

### Question

In the figure , and. Then x equals ________

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page