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Question : 6
Total: 36
The two lines x = ay + b , z = cy + d ; and x = a ′ y + b ′ , z = c ′ y + d ′ are perpendicular to each other, if
Solution: 👈: Video Solution
Fact: Two lines
=
=
and
=
=
are⟂ if a 1 a 2 + b 1 b 2 + c 1 c 2 = 0
Given lines can be written as
=
=
(i)
and
=
=
As lines are perpendicular
∴ a a ′ + 1 + c c ′ = 0
⇒ a a ′ + c c ′ = − 1
and
are
Given lines can be written as
and
As lines are perpendicular
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