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Pair of Linear ...

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  • Question 1
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    If, $$\displaystyle \frac{1}{x}+\frac{1}{y}=k$$ and $$\displaystyle \frac{1}{x}-\frac{1}{y}=k$$, then the value of y .................

  • Question 2
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    If the pair of equations has no solution, then the pair of equations is :

  • Question 3
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    If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is .................

  • Question 4
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    Which of the following pairs of equations represent inconsistent system?

  • Question 5
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    The point of intersection of the lines $$y=3x$$ and $$x=3y$$ is :

  • Question 6
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    If the lines are parallel, then the pair of equations has no solution. In this case, the pair of equations is ...................

  • Question 7
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    Solve, graphically, the following pairs of equations:

    $$x - 5 = 0$$
    $$y+ 4 = 0$$

  • Question 8
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    A system of linear equations is given as follows :
    $$a_1x+b_1y+c_1=0$$
    $$a_2x+b_2y+c_2=0$$
    Condition for two lines to have a unique solution is,

  • Question 9
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    Value of $$\alpha$$ for which equations
    $$\alpha  x+ 3y = \alpha -3;      12x + \alpha y = \alpha$$ has unique solution.

  • Question 10
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    Solve the following pair of linear equations using Graphical method:

    $$x\, +\, y\, =\, 8; \quad x\, -\, y\, =\, 2$$. 
    Then $$(x, y)$$ is equal to 

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