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Question
If the lines 7y = ax + 4 and 2y = 3 − x, are parallel to each other, then the value of ‘a’ is:
Options
- 1
`(-7)/2`
`(-2)/7`
14
Solution
`(-7)/2`
Explanation:
7y = ax + 4
⇒ y = `a/7x + 4/7`
∴ m1 = `a/7`
2y = 3 − x
⇒ `y = -x/2 + 3/2`
∴ m2 = `(-1)/2`
Here, the lines 7y = ax + 4 and 2y = 3 − x are parallel to each other.
∴ m1 = m2
⇒ `a/7 = (-1/2)`
⇒ a = `(-7)/2`
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