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MHT CET202416 May 2024Morning ShiftMathematicsStraight LinesActual

The abscissa of the point on the curve y= a ( e ^ x a + e ^ - x a ) where the tangent is parallel to the X -axis is

Options

  1. A0
  2. Ba
  3. C2 a
  4. D-2 a

Correct answer

A. 0

Step-by-step solution

aligned & y= a ( e ^ x a + e ^ -x a ) & d y ~d x = e ^ x a - e ^ - x a aligned Since the tangent is parallel to X -axis, d y ~d x =0 aligned & e ^ x a - e ^ - x a =0 & e ^ 2 x a =0 & x=0 aligned

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