If the lines given by 3x + 2ky - 2 = 0 and 2x + 5y - 1 = 0 are paralle

1.	If the lines given by 3x + 2ky - 2 = 0 and 2x + 5y - 1 = 0 are parallel, then the value of k is A. -5/4 B. 2/5 C. 15/4 D. 3/2
Answer» C. 15/4 Condition for parallel lines is a₁/a₂ = b₁/b₂≠ c₁/c₂ …(i) Given lines, 3x + 2ky - 2 = 0 and 2x + 5y - 1 = 0; Comparing with ax + by + c = 0; Here, a₁ = 3, b₁ = 2k, c₁ = - 2 and a₂ = 2, b₂ = 5, c₂ = - 1 From Eq. (i), 3/2 = 2k/5 k = 15/4

If the lines given by 3x + 2ky - 2 = 0 and 2x + 5y - 1 = 0 are parallel, then the value of k is A. -5/4 B. 2/5 C. 15/4 D. 3/2

Answer»

C. 15/4

Condition for parallel lines is

a₁/a₂ = b₁/b₂≠ c₁/c₂ …(i)

Given lines, 3x + 2ky - 2 = 0

and 2x + 5y - 1 = 0;

Comparing with ax + by + c = 0;

Here, a₁ = 3, b₁ = 2k, c₁ = - 2

and a₂ = 2, b₂ = 5, c₂ = - 1

From Eq. (i), 3/2 = 2k/5

k = 15/4