If (pa + qb) : (pc + qd) : : (pa - qb) : (pc - qd), prove that a : b : : c : d.

Question

KnowledgeBoat · Accepted Answer

Given, (pa + qb) : (pc + qd) : : (pa - qb) : (pc - qd). By alternendo, By componendo and dividendo, On dividing the equation by , Hence, proved that a, b, c, d are in proportion.

Mathematics

If (pa + qb) : (pc + qd) : : (pa - qb) : (pc - qd), prove that a : b : : c : d.

Ratio Proportion

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Mathematics

If (pa + qb) : (pc + qd) : : (pa - qb) : (pc - qd), prove that a : b : : c : d.

Ratio Proportion

Related Questions

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

If (ma + nb) : b : : (mc + nd) : d, prove that a, b, c, d are in proportion.

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If (11a² + 13b²)(11c² - 13d²) = (11a² - 13b²)(11c² + 13d²), prove that a : b : : c : d.