Question

1) If the lines 3x+2ky -2=0 and 2x +5y +1 =0 are parallel,
then what is the value of K?
a) 4/15
b) 15/4
c)4/5
d)5/4​

Answer 1

Answer:

b) 15/4 is the correct option

Step-by-step explanation:

We know that ,if, a₁x +b₁y + c₁ = 0 and a₂x +b₂y + c₂ = 0, then

$\frac{a _1}{a_2} = \frac{b_1}{b_2}$

Here , a₁ = 3, b₁ = 2k, a₂ = 2, b₂ = 5

$\frac{3}{2} = \frac{2k}{5} \\\\\implies 15 = 4k\\\\\implies \boxed {k = \frac{15}{4}}$

Hope it helps

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