# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 62 - 68 of 82

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## Question number: 62

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Which of the following system of equations has infinitely many solutions?

### Choices

Choice (4) Response

a.

b.

c.

d.

All a. , b. and c. are correct

## Question number: 63

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of two numbers is 9 and the sum of their squares is 41. The numbers are ________

### Choices

Choice (4) Response

a.

1 and 8

b.

3 and 6

c.

4 and 5

d.

2 and 7

## Question number: 64

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The solution of the system of equations and, is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 65

» Pair of Linear Equations in Two Variables

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: 66

» Pair of Linear Equations in Two Variables

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: 67

» Pair of Linear Equations in Two Variables

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: 68

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The value of k, for which the system of equations represent parallel lines is ________

### Choices

Choice (4) Response

a.

35

b.

25

c.

15

d.

45

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