Pair of linear equations

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Solve all the questions:

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1. For the equation 2019x+2020y=4040 when x=0 the value of y= *

1 point

2019

2020

2. Solution of the equations 7x+5y=12, 5x-7y=-2 is not equal to *

1 point

-22/22,14/14

33/33,44/44

77/77

13/13

16/16,15/15

3. If (5,2) is a solution of 2x+5y=20, ax-by=0, then (a,b) *

1 point

(2,5)

(5,2)

(-2,5)

(-5,2)

4. If the system of equations x-y=1, ax+y=2 has unique solution then *

1 point

a=1

a=-1

a is equal to 1

a is equal to -1

5. If the larger of two complementary angles exceeds the smallest by 18 degrees, then the smaller angle is *

1 point

54 degrees

45 degrees

36 degrees

30 degrees

6. x+y = √3, x-y =0 then x= *

1 point

√3

-√3

√3/2

-√3/2

7. If the system of linear equations x+2y=5 and 3x+ky+15=0 has no solution then k = *

1 point

-6

3/2

2/3

8. If the system of linear equations 2x+3y-7=0 and (a+b)x+(2a-b)y=21 has infinite solutions, then *

1 point

a=-1, b=5

a=-1, b=-5

a=5, b=11

a=5, b=1

9. The solution of 99x+101y=499 and 101x+99y=501 is *

1 point

-3,-2

3,-2

-2,3

3,2

10. The nature of roots of 4/3x+2y=8 and 2x+3y=12 is *

1 point

not a linear system

consistent, dependent

consistent, independent

inconsistent

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