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Question

The point at which the tangent line to the curve x3+y3=a3 is parallel to y-axis is

A
(0, a)
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B
(a, 0)
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C
(-a, 0)
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D
(0, -a)
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Solution

The correct option is B (a, 0)
Given,

x3+y3=a3

Since, it's given that, the tangent is parallel to y-axis

y=0

(a,0) is the point at which the tangent line to the curve

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