If the lines represented by the equations y + (2p + 1)x + 3 = 0 and 8y - (2p - 1)x = 5 are perpendicular to each other, find p.
Straight Line Eq
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Question

If the lines represented by the equations y + (2p + 1)x + 3 = 0 and 8y - (2p - 1)x = 5 are perpendicular to each other, find p.

KnowledgeBoat · Accepted Answer

Given, ⇒ y + (2p + 1)x + 3 = 0 ⇒ y = -(2p + 1)x - 3 Comparing above equation with y = mx + c, we get : ⇒ Slope (m₁) = -(2p + 1) Given, ⇒ 8y - (2p - 1)x = 5 ⇒ 8y = (2p - 1)x + 5 ⇒ y = Comparing above equation with y = mx + c, we get : ⇒ Slope (m₂) = . We know that, Product of slopes of perpendicular lines = -1. Hence, p = .

Mathematics

If the lines represented by the equations y + (2p + 1)x + 3 = 0 and 8y - (2p - 1)x = 5 are perpendicular to each other, find p.

Straight Line Eq

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