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KCET2007MathematicsApplication of Derivatives

The length of the subtangent to the curve x² y²=a⁴ at (-a, a) is

Options

  1. Aa 2
  2. B2 a
  3. Ca
  4. Da 3

Correct answer

C. a

Step-by-step solution

Given, curve x² y²=a⁴ y²= a⁴ x² On differentiating, we get aligned 2 y d y d x &= -2 a⁴ x³ & d y d x &= -a⁴ x³ y at &(-a, a), d y d x &= -a⁴ -a³ a =1 aligned Now, length of subtangent to the given curve at (-a, a) is y d y d x = a 1 =a

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