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For which values of h does the following pair of equations have unique solutions?9x + hy = 73x + 2y = 61. All value except 32. All value except 63. All value except 14. All value except 4 |
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Answer» Correct Answer - Option 2 : All value except 6 Given: 9x + hy = 7 3x + 2y = 6 Concept used: If (a1/a2) ≠ (b1/b2) then the system of equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 has a unique solution Calculation: 9x + hy – 7 = 0 ....(1) where, a1 = 9, b1 = h and c1 = -7 3x + 2y – 6 = 0 where, a2 = 3, b2 = 2 and c2 = -6 ....(2) According to the question (a1/a2) ≠ (b1/b2) ⇒ (9/3) ≠ (h/2) ⇒ 3 ≠ h/2 ⇒ h ≠ 6 ∴ Required answer is all value except 6 |
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