If the lines given $3 x + 2 k y = 2$ and $2 x + 5 y + 1 = 0$ are parallel, then the value of $k$ is:

- \frac{5}{4}

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\frac{2}{5}

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\frac{15}{4}

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\frac{3}{2}

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Solution

The correct option is C $\frac{15}{4}$
$3 x + 2 k y = 2, 2 x + 5 y = - 1$
For lines to be parallel
$\Rightarrow$ $\frac{3}{2} = \frac{2 k}{5}$
$\Rightarrow$ $4 k = 15$
$\Rightarrow$ $k = \frac{15}{4}$

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Similar questions

Q. If the lines given by

3 x + 2 k y = 2

and

2 x + 5 y + 1 = 0

are parallel, then the value of k is:

If the lines given by $3 x + 2 y = 2 a n d 2 x + 5 y + 1 = 0$ are parallel then the value of k is

(a) $\frac{- 5}{4}$ (b) $\frac{2}{5}$ (c) $\frac{3}{2}$ (d) $\frac{15}{4}$

Question 7
If the lines given by 3x + 2ky = 2 and 3x + 5y = 1 are parallel, then the value of k is
(a) $- \frac{5}{4}$
(b) $\frac{1}{2}$
(c) $\frac{15}{4}$
(d) $\frac{3}{2}$

Q. If the lines

3 x + 2 k y = 2

and

2 x + 5 y + 1 = 0

are parallel, then find the value of

k

Q. If the lines given by 3x + 2ky = 2 and 2x + 5y = 1 are parallel, then the value of 'k' is.

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

The correct option is C 1543x+2ky=2,2x+5y=−1For lines to be parallel⇒ 32=2k5⇒ 4k=15⇒ k=154

If the lines given $3 x + 2 k y = 2$ and $2 x + 5 y + 1 = 0$ are parallel, then the value of $k$ is:

The correct option is C $\frac{15}{4}$
$3 x + 2 k y = 2, 2 x + 5 y = - 1$
For lines to be parallel
$\Rightarrow$ $\frac{3}{2} = \frac{2 k}{5}$
$\Rightarrow$ $4 k = 15$
$\Rightarrow$ $k = \frac{15}{4}$