Mathematics · Algebra
Match the pair of linear equations in Column-I with their system properties in Column-II: Column-I (a) 2x + 3y = 7, 4x + 6ky = 14 (b) 3x - y = 5, 6x - 2y = 10 (c) x + 2y = 4, 2kx + 4ky = 8k (d) 4x + y = 9, 8x + 2y = 20 Column-II (I) System has infinite number of solutions for all real values of k ≠ 0 (II) System has infinitely many solutions for only one value of k (III) System has no solution (IV) System is always consistent Choose the correct answer from the options given below:
- 1a-III, b-IV, c-II, d-I
- 2a-II, b-III, c-I, d-IV
- 3a-IV, b-I, c-III, d-II
- 4a-II, b-IV, c-I, d-III✓
Correct answer
a-II, b-IV, c-I, d-III
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