MCQ

The value of k for which the pair of linear equations 4x + 6y – 1 = 0 and 2x + ky – 7 = 0 represents parallel lines is

#### Options

k = 3

k = 2

k = 4

k = − 3

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#### Solution

**k = 3**

**Explanation;**

Hint:

Slope of 4x + 6y – 1 = 0

6y = – 4x + 1

⇒ y = `(-4)/6x + 1/6`

Slope = `(-4)/6 = (-2)/3`

Slope of 2x + ky – 7 = 0

ky = – 2x + 7

y = `(-2)/"k"x + 7/"k"`

Slope of a line = `(-2)/"k"`

Since the lines are parallel

`(-2)/3 = (-2)/"k"`

– 2k = – 6

k = `6/2`

= 3

Concept: Simultaneous Linear Equations

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