Question

The value of m for which the lines 14x + my = 20 and –3x + 2y = 16 are parallel is ______.

विकल्प

• `-3/14`

• `-7/3`

• `-28/3`

• `-3/28`

Answer 1

The value of m for which the lines 14x + my = 20 and –3x + 2y = 16 are parallel is `underlinebb(-28/3)`.

Explanation:

We know that two lines are parallel if and only if their slopes are equal.

The slope of line (Ax + By = C) = `(-A)/B`

∴ The slope of line (14x × my = 20) = `(-14)/m`

And the slope of line (−3x + 2y = 16) = `(-(-3))/2 = 3/2`

∵ Both lines are parallel.

∴ `(-14)/m = 3/2`

⇒ 3m = –28

⇒ m = `(-28)/3`