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- 1. Multiple ChoiceGraphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which areintersecting at exactly one pointintersecting at exactly two points.coincident.parallel.
- 2. Multiple ChoiceThe pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 havea unique solutionexactly two solutionsinfinitely many solutionsNo solution
- 3. Multiple ChoiceThe value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is3– 3–12no value
- 4. Multiple ChoiceIf the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is–5/42/ 515/43/2
- 5. Multiple ChoiceThe pair of equations x = a and y = b graphically represents lines which areparallelintersecting at (b, a)coincidentintersecting at (a, b)
- 6. Multiple ChoiceFor which value(s) of k will the pair of equations kx + 3y = k – 3 12x + ky = k have no solution?6−6± 64
- 7. Multiple ChoiceThe graph of the line x = 6 is a line___parallel to x -axis at a distance of 6 untis from originparallel to y-axis at a distance of 6 units from the originmaking an intercept 6 on the x-axismaking an intercept 6 on both the axis
- 8. Multiple ChoiceIf we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____ChangesRemains the sameChanges in case of multiplication onlyChanges in case of division only
- 9. Multiple ChoiceHow many linear equations in x and y can be satisfied by x = 1 and y = 2Only oneTwoInfinitely manyThree
- 10. Multiple Choice
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
d + c = 174
4d + 2c = 50
d + c = 50
4d + 2c = 174
d + c = 50
2d + 4c = 174
d + c = 174
2d + 4c = 50
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