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प्रश्न
Find k, if the following equations are consistent: x + 3y + 2 = 0, 2x + 4y – k = 0, x – 2y – 3k = 0
उत्तर
Given equations are
x + 3y + 2 = 0
2x + 4y – k = 0
x – 2y – 3k = 0
Since, these equations are consistent.
∴ `|(1, 3, 2),(2, 4, -"k"),(1, -2, -3"k")|` = 0
∴ 1(– 12k – 2k) – 3(– 6k + k) + 2(–4 – 4) = 0
∴ – 14k + 15k – 16 = 0
∴ k – 16 = 0
∴ k = 16
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संबंधित प्रश्न
Show that the following equations are consistent: 2x + 3y + 4 = 0, x + 2y + 3 = 0, 3x + 4y + 5 = 0
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Find the value (s) of k, if the following equations are consistent: kx + 3y + 4 = 0, x + ky + 3 = 0, 3x + 4y + 5 = 0
