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Question
Line joining the points (3, – 4) and (– 2, 6) is perpendicular to the line joining the points (–3, 6) and (9, –18).
Options
True
False
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Solution
This statement is False.
Explanation:
The given points are (3, – 4) and (– 2, 6), (– 3, 6) and (9, – 18).
Slope of the line joining the points (3, – 4) and (– 2, 6)
`m_1 = (6 + 4)/(-2 - 3)`
= `10/(-5)`
= – 2
Slope of the line joining the points (– 3, 6) and (9, – 18)
`m_2 = (-18 - 6)/(9 + 3)`
= `(-24)/12`
= – 2
Since m1 = m2 = – 2
So, the lines are parallel and not perpendicular.
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