Question

The value of k for which the pair of equations kx – y = 4 and 3x – 2y = 3 will have infinitely many solutions is 
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Answer 1

Answer:

D. no value Condition for infinitely many solutions a1/a2 = b1/b2≠ c1/c2 …

(i) The given lines are cx - y - 2 = 0 and 6x - 2y - 3 = 0; Comparing with ax + by + c = 0; Here, a1 = c, b1 = - 1, c1 = - 2 and a2 = 6, b2 = - 2,c2 = - 3 From Eq.

(i), Here, c/6 = -1/- 2 Also c/6 = -2/- 3 Solving, we get, c = 3 and c = 4. Since, c has different values and so it’s not possible.

Hence, for no value of c the pair of equations will have infinitely many solutions.Read more on Sarthaks.com - https://www.sarthaks.com/878665/the-value-for-which-the-pair-equations-cx-and-6x-2y-will-have-infinitely-many-solutions-is