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Mathematics
10th
grade
Linear equations in two variables.
15 questions
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- 1. Multiple Choice
If a pair of linear equations is consistent then their graph lines will be_______
Parallel
Always coincident.
Always intersecting.
Intersecting or coincident.
- 2. Multiple Choice
If 2x+3y = 12 and 3x-2y=5 then
x = 2, y = 3
x = 2, y = -3
x = 3, y = 2
x = 3, y = -2
- 3. Multiple Choice
The pair of equation x+2y+5=0 and -3x-6y+1=0 has
A unique solution
Exactly two solutions
Infinitely many solutions
No solution.
- 4. Multiple Choice
If the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution, then k =___
-10
-5
-6
-15
- 5. Multiple Choice
The value of k for which the system of equations 3x+5y=0 and kx+10y=0 have infinitely many solutions is _______
0
2
6
8
- 6. Multiple Choice
If x+y=14 and x-y=4 then the values of x and y are_________
x=4 and y = 5
x = 9 and y = 7
x = -6 and y = 5
x = 9 and y = 5
- 7. Multiple Choice
The system of equations kx - y = 2 and 6x - 2y = 3 has a unique solution only when k =_______
0
not equal to 0
3
not equal to 3
- 8. Multiple Choice
If the lines given by 3x+2ky =2 and 2x+5y+1= 0 are parallel then the value of k is _______
- 9. Multiple Choice
The graphs of the equations 2x+3y-2=0 and x-2y-8=0 are two lines which are_______
Coincident
Parallel
Intersecting exactly at one point
Perpendicular to each other
- 10. Multiple Choice
If a system of equations has no solution, what does the graph look like?
intersecting lines
parallel lines
Perpendicular lines
coincident lines
- 11. Multiple ChoiceThe equation y = 3x + 5 has _____A unique solutionOnly two solutionsThree solutionsInfinitely many solutions
- 12. Multiple ChoiceConsistent : Unique solutionConsistent: Many SolutionsInconsistent: No solutionNone of the above
- 13. Multiple Choice
Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs.50 and Rs.100 notes only. Meena got 25 notes in all. then number of 50 Rs notes and number of 100 rs notes are________
50's = 15 and 100's = 10
50's = 10 and 100's = 15
50's = 14 and 100's = 11
50's = 13 and 100's = 12
- 14. Multiple Choice
29x+37y=103 and 37x+29y = 95 then
x=1, y=2
x=2, y=1
x=3, y=2
x=2, y=3
- 15. Multiple ChoiceFor what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?1/2−1/22−2
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