Mathematics
In the given figure line l1 is a parallel to line l2. If line l3 is perpendicular to line l1, then the slopes of lines l2 and l3 respectively are :
1, 1
-1, -1
1, -1
-1, 1
Straight Line Eq
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Answer
Slope of line l1 = tan 45° = 1.
We know that,
Slope of parallel lines are equal.
Slope of line l2 = Slope of line l1 = 1.
We know that,
Product of slope of perpendicular lines is equal to -1.
⇒ Slope of line l2 × Slope of line l3 = -1
⇒ 1 × Slope of line l3 = -1
⇒ Slope of line l3 = -1.
Hence, Option 3 is the correct option.
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