Pair of Linear Equations in Two Variables

Bihar Board Class 10 · Mathematics · 30 past questions

1. Q1 2026

   Graphical representation of the pair of linear equations $x - y = 0$, $3x + 4y - 20 = 0$ is

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2. Q2 2026

   If $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ in the pair of linear equations $a_1x+b_1y+c_1=0$…

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3. Q3 2026

   If the graphical representation of the pair of linear equations $a_1x+b_1y+c_1=0$, $a_2x+b_2y+c_2=0$ are…

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4. Q4 2026

   If the sum and difference of two numbers are 14 and 4 respectively then their product is

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5. Q5 2026

   If the speed of a boat in still water is 8 km/hr and the speed of the stream is 3 km/hr then relative speed…

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6. Q6 2025

   How many solutions will $x+2y+3=0$, $3x+6y+9=0$ have?

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7. Q7 2025

   If the graphs of two linear equations are parallel then the number of solutions will be

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8. Q8 2025

   The pair of linear equations $5x-4y+8=0$ and $7x+6y-9=0$ is

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9. Q9 2024

   If $2a + 3b = 8$ and $3a - 4b = -5$, then

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10. Q10 2024

    The pair of linear equations $2x - 3y = 8$ and $4x - 6y = 9$ are

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11. Q11 2024

    The graphs of the equations $2x+3y=4$ and $4x+6y=12$ are which type of straight lines ?

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12. Q12 2024

    How many solutions does the system of linear equations $2x-3y+1=0$ and $3x+y+2=0$ have ?

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13. Q13 2024

    For what value of $k$, has the system of linear equations $x+2y=3$ and $5x+ky=15$ infinite solutions ?

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14. Q14 2023

    If the graph of two linear equations is coincident lines then how many solutions do they have ?

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15. Q15 2023

    The graphs of equations 2x - y - 3 = 0 and 12x + 7y - 5 = 0 are which type of straight lines?

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16. Q16 2023

    Which type of straight line will be the graph of x - y = 0 ?

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17. Q17 2023

    If $3x - 2y = 12$ and $4x - 5y = 16$, then

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18. Q18 2022

    The solution of the pair of the equations $2x+4y=3$ and $12y+6x=6$ is

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19. Q19 2022

    For what value of $k$, the equations $x+2y=3$ and $3x+ky=9$ represent coincident lines ?

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20. Q20 2022

    If $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ then the solution of system of equations…

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21. Q21 2020

    The pair of equations $2x + 3y = 5$ and $4x + 6y = 15$ have

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22. Q22 2020

    What type of straight line will the graph of $x = -5$ be ?

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23. Q23 2020

    How many maximum solutions of the linear equation $ax + by + c = 0$ are possible in two variables $x, y$?

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24. Q24 2020

    If the equations $3x - y = 5$ and $6x - 2y = k$ have no solution, then

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25. Q25 2019

    Pair of equations $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$ have-

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26. Q26 2019

    If the equations $kx - 5y = 2$ and $6x + 2y = 7$ have no solutions, then-

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27. Q27 2019

    If the graph of two linear equations in two variables is intersecting lines, then the number of solutions is -

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28. Q28 2018

    The pair of linear equations $x + 2y = 5$ and $3x + 12y = 10$ has-

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29. Q29 2018

    If $0.3x - 0.37 = 0.37x - 0.3$, then x has the value -

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30. Q30 2018

    If $173x + 197y = 149$ and $197x + 173y = 221$, then $(x, y)$ will be

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