The relation between arc length s, parameter c, and height y above directrix in a common catenary is:

Type: MCQ • Marks: 1

A. s = c y

B. y = c + s

C. y² = c² + s²

D. y² = c² - s²

Explanation

From y = c cosh(x/c) and s = c sinh(x/c), since cosh²u - sinh²u = 1, y² - s² = c² ⇒ y² = c² + s².

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UP TGT Mathematics

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