Match List-I with List-II
| List-I | List-II | ||
|---|---|---|---|
| (A) | \(5x+2=0\) | (I) | \(\frac{5}{4}\) |
| (B) | \(-2x+\frac{5}{2}=0\) | (II) | \(\frac{1}{4}\) |
| (C) | \(x+7=6\) | (III) | \(-\frac{2}{5}\) |
| (D) | \(-2x+\frac{3}{2}=1\) | (IV) | \(-1\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A-III, B-I, C-IV, D-II
Each equation in List-I is matched with its root, the value of \(x\) that makes it true.
(A) \(5x+2=0\) — this matches (III) \(-\frac{2}{5}\).
\(5x=-2\)
\(x=-\frac{2}{5}\)
(B) \(-2x+\frac{5}{2}=0\) — this matches (I) \(\frac{5}{4}\).
\(2x=\frac{5}{2}\)
\(x=\frac{5}{4}\)
(C) \(x+7=6\) — this matches (IV) \(-1\).
\(x=6-7=-1\)
(D) \(-2x+\frac{3}{2}=1\) — this matches (II) \(\frac{1}{4}\).
\(-2x=1-\frac{3}{2}=-\frac{1}{2}\)
\(x=\frac{1}{4}\)