Question:medium

If \[ \sqrt{x}+\sqrt{y}=\sqrt{a}, \] then \[ \left(\frac{d^2y}{dx^2}\right)_{x=a} = \]

Show Hint

When an equation involves square roots of both variables, isolate one root and square the equation to obtain an explicit relation before differentiating.
Updated On: Jul 29, 2026
  • \(\dfrac{1}{a}\)
  • \(\dfrac{1}{2a}\)
  • \(\dfrac{1}{2\sqrt a}\)
  • \(\dfrac{1}{2}\)
Show Solution

The Correct Option is B

Solution and Explanation

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