GATE CE 2017 Set 2 — Question 26
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Engineering Mathematics → Calculus → Functions of Single Variable
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Question
The tangent to the curve represented by is required to have inclination with the -axis. The coordinates of the tangent point would be
Correct answer
(A) (1, 0)
Solution
Given the curve . The tangent has an inclination of with the -axis, which means the slope .
The slope of the tangent at any point is given by the derivative .
Using the product rule:Setting the slope equal to 1:Now, find the -coordinate by substituting into the original equation:Thus, the coordinates of the tangent point are .
The slope of the tangent at any point is given by the derivative .
Using the product rule:Setting the slope equal to 1:Now, find the -coordinate by substituting into the original equation:Thus, the coordinates of the tangent point are .
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