Application of DerivativeMedium
Question
The equation of tangent to the curve √x + √y = √a at the point (x1, y1) is-
Options
A.
B.
C.x√x1 + y√y1 = √a
D.None of these
Solution
√x + √y = √a at point (x1, y1)
= 0
⇒ 
Equation of tangent y - y1 = -
(x - x1)
y√x1 - y1√x1 = - x√y1 + x1 √y1
x√ y1 + y √x1 = √x1 √y1 (√a)
= 0 ⇒ Equation of tangent y - y1 = -
(x - x1)y√x1 - y1√x1 = - x√y1 + x1 √y1
x√ y1 + y √x1 = √x1 √y1 (√a)
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