Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 38 - 42 of 82

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Question number: 38

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Which of the following system of equations has no solution?

Choices

Choice (4) Response

a.

3xy=2,9x3y=6

b.

4x7y+28=0,5y7x+9=0

c.

3x5y11=0,6x10y7=0

d.

All of the above

Question number: 39

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The number of values of k for which the system of equations 2x+3y=2,x+4y=6,5x+ky=2 has atleast one solution is ________

Choices

Choice (4) Response

a.

9

b.

-9

c.

-6

d.

6

Question number: 40

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations kxy=2,6x2y=3 has a unique solution, is ________

Choices

Choice (4) Response

a.

= 3

b.

= 0

c.

0

d.

3

Question number: 41

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Neha and Anjali have some books with them. Once Anjali said to Neha that if Neha gives 10 books to Anjali then Neha will have only 12 of the books that Anjali will have with him. Then Neha asked frankly that if Anjali gives him only 15 books (to Neha), then Anjali will have as many books as Neha will have. The total number of books that Neha and Anjali have with them is ________

Choices

Choice (4) Response

a.

40

b.

60

c.

30

d.

80

Question number: 42

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k, for which the system of equations 12x+ky+16=0,15x+20y20=0 represent parallel lines is ________

Choices

Choice (4) Response

a.

36

b.

26

c.

16

d.

46

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