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The value of k for which kx + 3y –k + 3 = 0 and 12x + ky = k, have infinite solutions, is: - Mathematics

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MCQ

The value of k for which kx + 3y –k + 3 = 0 and 12x + ky = k, have infinite solutions, is:

Options

  • 0

  • – 6

  • 6

  • 1

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Solution

6

Explanation:

For infinite many solutions

`"a"_1/"a"_2="b"_1/"b"_2="c"_1/"c"_2`

`⇒"k"/12=3/"k"=(-("k"-3))/-"k",3/"k"=(("k"-3))/"k"`

k2 = 36   k − 6 = 0

k = ± 6   k = 6

Concept: Number System (Entrance Exam)
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