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NIELIT 2017 DEC Scientist B - Section A-51

For what values of $‘k’$ will the pair of equations $3x + 4y =12$ and $kx + 12y = 30$ $NOT$ have a unique solution?

  1. $9$
  2. $12$
  3. $3$
  4. $7.5$
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Option A. 9

To not have a unique solution, lines should be parallel.

Two parallel lines have equal slopes.

Slope of the line 3x+4y = 12, = -3/4

Slope of the line kx+12y = 30, = -k/12
3/4 = k/12 or k=9

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