JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1

The curve

x+y-\ell \mathrm{n}(x+y)=2 x+5

has a vertical tangent at the point

(\alpha, \beta)

. Then

\alpha+\beta

is equal to

View answer and explanation

Correct option: A

Option A (1) is correct because for a vertical tangent,

\frac{{dy}}{{dx}}

must be undefined, which occurs when the denominator of

\frac{{dy}}{{dx}}

is zero, leading to

\alpha + \beta = 1

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