# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 445 - 451 of 931

Access detailed explanations (illustrated with images and videos) to 931 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

## Question 445

Edit

### Question

MCQ▾

In an isosceles triangle ABC, with, the bisectors of and intersect each other at O. join A to O, then________

### Choices

Choice (4)Response
a.
b.
c.
d.

## Question 446

Edit

### Question

MCQ▾

In the adjoining figure, , then is ________ Given the Triangle PQR and Ratio QS: SR Equals 3: 2

### Choices

Choice (4)Response
a.
b.
c.
d.

## Question 447

Edit

### Question

MCQ▾

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

### Choices

Choice (4)Response
a.Orthocenter
b.Incenter
c.Centroid
d.Circumcenter

## Question 448

Edit

### Question

MCQ▾

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

### Choices

Choice (4)Response
a.
b.
c.
d.

## Question 449

Edit

### Question

MCQ▾

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

### Choices

Choice (4)Response
a.
b.
c.
d.

## Question 450

Edit

### Question

MCQ▾

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

### Choices

Choice (4)Response
a.7
b.8
c.9
d.6

## Question 451

Edit

### Question

MCQ▾

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. 5200
b.Rs. 6200
c.Rs. 4200
d.Rs. 7400