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Mathematics
10th
grade
Graphical method of solution of a pair of linear equations in two variables
7 questions
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- 1. Multiple Choice
For two lines in a plane, which statement is false?
The two lines will intersect at one point
The two lines will intersect at two points
The two lines will not intersect
The two lines will be coincident
- 2. Multiple Choice
Fill in the blank, If a₁/a₂ = b₁/b₂ = c₁/c₂ for two straight lines in a plane , then the lines will be ____________
Parallel
Intersecting
Coincident
None of the above
- 3. Multiple Choice
Represent the following pair of lines graphically. How many solutions are possible for the following pair of lines? 4x + 3y = 3 12x + 9y = 20
One ( unique) solution
Infinite solutions
No solution
Exactly Two solutions
- 4. Multiple Choice
For what value of k, do the equations 5x – 2 y + 8 = 0 and 15x + ky = – 24 represent coincident lines?
6
4
Cannot be coincident
-6
- 5. Multiple Choice
Which pair of equations is represented by the graph given below ?
6x - 3y +10 =0 2x - y +9 =0
6x - 3y + 12 = 0 2x - y + 4 = 0
Both of the above
None of the above
- 6. Multiple Choice
Given the linear equation 12x - 4y = 20, which of the following linear equations in two variables is such that the geometrical representation of the pair formed is two intersecting lines. 1. 6x + 4y =10 2. 6x - 2y = 10
1
2
1 and 2 both
Neither
- 7. Multiple Choice
Represent the following pair of lines graphically. How many solutions are possible for the following pair of lines? 5x ─ y = 7 x ─ y = ─ 1
One (unique) solution
Infinite solutions
No solution
Exactly two solutions
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