If (4a + 5b)(4c - 5d) = (4a - 5b)(4c + 5d), prove that a, b, c, d are in proportion.
Ratio Proportion
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Question

If (4a + 5b)(4c - 5d) = (4a - 5b)(4c + 5d), prove that a, b, c, d are in proportion.

KnowledgeBoat · Accepted Answer

Given, (4a + 5b)(4c - 5d) = (4a - 5b)(4c + 5d). On cross-multiplication, By componendo and dividendo, On dividing the equation by , Hence, proved that a, b, c, d are in proportion.

Mathematics

If (4a + 5b)(4c - 5d) = (4a - 5b)(4c + 5d), prove that a, b, c, d are in proportion.

Ratio Proportion

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