Mathematics
Assertion (A): The slope of the line perpendicular to the line passing through the points (2, 5) and (–3, 6) is given by 5.
Reason (R): The product of the slopes of two perpendicular lines is always –1.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Straight Line Eq
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Answer
Slope (m1) =
The product of the slopes of two perpendicular lines is always –1. Let slope of perpendicular line be m2.
⇒ m1 × m2 = -1
⇒ × m2 = -1
⇒ m2 = 5.
Both A and R are true
Hence, option 3 is the correct option.
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