Question

If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel then find the value of k

Answer 1

The value of k here is 15/4.

All you have to is to make ratio of coefficient of x and ratio of coefficient of y equal.

Answer 2

$\bf\huge\underline{Question}$

If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel then find the value of k

$\bf\huge\underline{Solution}$

Given equation of lines are

3x + 2ky - 2 = 0 and 2x + 5y + 1 = 0

Here ${a_1}$ = 3, ${b_1}$ = 2k, ${c_1}$ = -2

and ${a_2}$ = 2, ${b_2}$ = 5, ${c_2}$ = 1

Since conditions for parallel lines is

$\dfrac{a_1}{a_2}$ = $\dfrac{b_1}{b_2}$ ≠ $\dfrac{c_1}{c_2}$

∴ $\dfrac{3}{2}$ = $\dfrac{2k}{5}$ => k = $\dfrac{15}{4}$