# IMO- Mathematics Olympiad Class 10: Questions 206 - 211 of 958

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## Question number: 206

MCQ▾

### Question

If are the zeroes of the quadratic polynomial such that, then the value of k is ________

### Choices

Choice (4) Response

a.

25

b.

-25

c.

24

d.

-24

## Question number: 207

MCQ▾

### Question

The solution of the system of equations and, is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 208

MCQ▾

### Question

The sum of two numbers is 18 and the sum of their squares is 38. The numbers are ________

### Choices

Choice (4) Response

a.

16 and 20

b.

11 and 13

c.

13 and 18

d.

21 and 25

## Question number: 209

MCQ▾

### Question

The number of values of k for which the system of equations has atleast one solution is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 210

MCQ▾

### Question

The value of k for which the system of equations, has infinite number of solutions, is ________

### Choices

Choice (4) Response

a.

10

b.

9

c.

4

d.

3

## Question number: 211

MCQ▾

### Question

If are the roots of the cubic, the value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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