If A(2, –5), B(–2, 5), C(k, 3) and D(1, 1) be four points such that AB and CD are perpendicular to each other, find the value of k.
Straight Line Eq
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Question

If A(2, –5), B(–2, 5), C(k, 3) and D(1, 1) be four points such that AB and CD are perpendicular to each other, find the value of k.

KnowledgeBoat · Accepted Answer

By using slope formula, m = Given, points A(2, –5), B(–2, 5) Substituting values we get, Given, points C(k, 3) and D(1, 1) Substituting values we get, Since the lines are perpendicular the product of the gradients is equal to -1: Hence, value of k = 6.

Mathematics

If A(2, –5), B(–2, 5), C(k, 3) and D(1, 1) be four points such that AB and CD are perpendicular to each other, find the value of k.

Straight Line Eq

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