Question

Find the co-ordinate of the point on the curve√x+√y =4
at which tangent are equally inclined to the axes. ​

Answer 1

Solution :- we have.

√x+√y = 4

1/2*1/√x + 1/2√ydy/dx = 0

dy/dx = -√y/√x

•°• Given that , tangent are equally inclined since , X = Y

dy/dx = -1

From equation .

√y + √y = 4

2√y = 4

√y = 2

y = 4 and similarly X = 4

since, required co-ordinate are (4,4)

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