JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

If the orthogonal trajectories of the family of curves

e^{n-1} x=y^n

always passes through

(1, e)

and

(0,0)

, then value of

\boldsymbol{n}

View answer and explanation

Correct option: D

-e^2

Option D (

-e^2

) is correct because substituting the given points into the orthogonal trajectory equation allows us to solve for n, resulting in n = -e².

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