If a : b : : c : d, prove that: (i) (2a + 5b)\(2a - 5b) = (2c + 5d)\(2c - 5d).

Question

KnowledgeBoat · Accepted Answer

(i) Given, a : b : : c : d, Multiplying the equation by , By componendo and dividendo, Hence, proved that (ii) Given, a : b : : c : d, On multiplying the equation by , By componendo and dividendo, By alternendo, Hence, proved that (iii) Given, a : b : : c : d, On multiplying equation by , By componendo and dividendo, On cross multiplication, Hence, proved that (2a + 3b)(2c - 3d) = (2a - 3b)(2c + 3d). (iv) Given, a : b : : c : d, On multiplying the equation by , By componendo and dividendo, By alternendo, Hence, proved that (la + mb) : (lc + md) : : (la - mb) : (lc - md).

Mathematics

If a : b : : c : d, prove that: (i) (2a + 5b)\(2a - 5b) = (2c + 5d)\(2c - 5d).

Ratio Proportion

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