Choose the correct answer from the given four options: If the lin… - Vidyadip

MCQ

Choose the correct answer from the given four options:
If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is:

A
$\frac{-5}{4}$
B
$\frac{2}{5}$
✓
$\frac{15}{4}$
D
$\frac{3}{2}$

✓

Answer

Correct option: C.

$\frac{15}{4}$

Condition for parallel lines is
$\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
Given lines $3 x+2 k y-2=0$
and $2 x+5 y-1=0$
Here, $a_1=3, b_1=2 k, c_1=-2$
and $a_2=2, b_2=5, c_2=-1$
From Eq. (i), $\frac{3}{2}=\frac{2 k }{5}$
$\therefore k=\frac{15}{4}$

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