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Pair of Linear ...

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  • Question 1
    1 / -0

    Find the value of k for which the given system of equations has a unique solution.

    $$(k- 3)x + 3y = k; kx + ky = 12$$

  • Question 2
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    Find the value of $$k$$ for which the given system of equation has no solution.
    $$kx + 2y - 1 = 0$$
    $$5x - 3y + 2= 0$$

  • Question 3
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    Find the value of a and b for which the given system of linear equation has an infinite number of solutions.

    $$2x + 3y = 7$$ and $$(a - b) x + (a + b)y = 3a + b - 2$$

  • Question 4
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    Determine whether the following system of linear equations have no solution, infinitely many solution or unique solutions.

    $$x + 2y = 3, 2x + 4y = 15$$

  • Question 5
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    Find the value of $$k$$ for which the given system of equations has infinite number of solutions.

    $$5x + 2y = 2k$$ and $$2(k+ 1)x + ky = (3k+ 4)$$

  • Question 6
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    Find the value of k for which the given system of equations has no solution.$$kx + 3y = k - 3; 12x + ky = k$$

  • Question 7
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    Determine by drawing graphs whether the following pair of equations has a unique solution or not: $$2x - 3y = 6, 4x - 6y = 9$$. If yes, find the solution also

  • Question 8
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    Find the value of $$k$$ for which the given system of equations has a unique solution:
    $$x - ky = 2$$; 
    $$3x + 2y = - 5$$

  • Question 9
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    Solve:

    $$\frac {4}{9}x+\frac {1}{3}y=1, 5x+2y=13$$

  • Question 10
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    Determine how many solution exist for the following pair of equations $$8x +5y = 9, 16x +10y = 27$$ 

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