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Find the values of k so that the pair of...

Find the values of k so that the pair of equations `x+2y=5" and "3x+ky+15=0` has unique solution.

Text Solution

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The correct Answer is:
For all values of k except k = 6 the given pair of equations will have unique solution.
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Find the value of k for which the pair of linear equations kx+2y=3" and "3x+6y=10 has a unique solution.

Find the value of k for which the pair of linear equations kx+3y=k-2" and "12x+ky=k has no solution.

Knowledge Check

  • For what values of k do the pair of equations x-2y=3" and "3x+ky=1 have a unique solution?

    A
    `k=-6`
    B
    k = 0 only
    C
    `k ne 0`
    D
    `k ne -6`

  • The pair of equations 2x+3y=5" and "4x+6y=15 has

    A
    Unique solution
    B
    Exactly two solutions
    C
    Many solutions
    D
    No solution

  • For what value of k do the set of equations 4x-(3x+2)y=20" and "(11k-3)x-10y=40 have infinite solutions ?

    A
    -1
    B
    1
    C
    2
    D
    3

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    Find the value of q so that the equations 2x^(2) - 3qx + 5q =0 has one root which is twice the other.

    Find the value of k for which the following pair of linear equations has infinitely many solutions. 2x+3y=7" and "(k-1)x+(x+2)y=3k .

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