Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 63 - 68 of 82

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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 10x+5yxy=30 and 30x5yxy+10=0(wherex0,y0) , is ________

Choices

Choice (4) Response

a.

x=0.3,y=3

b.

x=0.4,y=4

c.

x=0.7,y=7

d.

x=0.2,y=2

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 3x+y=2,7xky=14,3x6y=6 has atleast one solution is ________

Choices

Choice (4) Response

a.

356

b.

563

c.

356

d.

563

Question number: 67

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 5x+y=12 , 15x+ky=36 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 kx+30y60=0,10x+2y+25=0 represent parallel lines is ________

Choices

Choice (4) Response

a.

35

b.

25

c.

15

d.

45

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