\(\begin{array}{|c|c|c|} \hline \textbf{List I (Quadratic Equation)} & \textbf{List II (Roots)} \\ \hline \text{A. } 6x^2 + x - 12 = 0 & \text{I. } (-6, 4) \\ \hline \text{B. } 8x^2 + 16x - 10 = 182…
Question and options
Match List I with List II. Choose the correct answer from the given options:
- A-I, B-III, C-IV, D-II
- A-IV, B-I, C-II, D-III
- A-II, B-IV, C-III, D-I
- A-III, B-II, C-I, D-IV
Answer and explanation
Correct answer: B - A-IV, B-I, C-II, D-III
A: 6x^2+x-12 = (3x-4)(2x+3), roots 4/3, -3/2 -> IV. B: 8x^2+16x-192 = 0 -> x^2+2x-24 = (x+6)(x-4), roots -6, 4 -> I. C: x^2-45x+324 = (x-9)(x-36), roots 9, 36 -> II. D: 2x^2-5x-3 = (2x+1)(x-3), roots 3, -1/2 -> III. Answer: A-IV, B-I, C-II, D-III.
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