If a ∶ b ∶ c ∶ d = \sqrt{4} ∶ \sqrt{3} ∶ \sqrt{2} ∶ \sqrt{1}, then what is the value of { (−a^{2} + b^{2} + c^{2} + d^{2}) }/{ (a^{2}−b^{2} + c^{2}−d^{2}) } ?

UPSC CDS I 2024 Math Paper

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If a ∶ b ∶ c ∶ d = √4 ∶ √3 ∶ √2 ∶ √1, then what is the value of ‌

‌(−a2‌+‌b2‌+‌c2‌+‌d2)‌

‌(a2−b2+c2−d2)

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