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Find the required point be P(x1, y1)dot ...

Find the required point be `P(x_1, y_1)dot` The tangent to the curve `sqrt(x)+sqrt(y)=4` at which tangent is equally inclined to the axes.

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To find the required point \( P(x_1, y_1) \) where the tangent to the curve \( \sqrt{x} + \sqrt{y} = 4 \) is equally inclined to the axes, we will follow these steps: ### Step 1: Differentiate the curve We start with the equation of the curve: \[ \sqrt{x} + \sqrt{y} = 4 \] To find the slope of the tangent, we differentiate both sides with respect to \( x \). ...
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