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Write the angle between the curves y=...

Write the angle between the curves `y=e^(-x)` and `y=e^x` at their point of intersection.

Text Solution

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Given that, `y=e^(−x) .`........(1)
`y=e^x .`.........(2)
Substituting the value of y in equation (1)
⇒`e^(−x)=e^(x)`
⇒x=0
at x=0, the value of y is y=1
...
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Knowledge Check

  • The cosine of the acute angle between the curves y=|x^(2)-1| and y=|x^(2)-3| at their points of intersection is

    A
    `(1)/(3)`
    B
    `(7)/(9)`
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    `(11)/(9sqrt2)`
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    `pi/3`
    B
    `pi/6`
    C
    `tan^(-1)(3)`
    D
    `+-tan^(-1)(3)`

  • Cosine of the acute angle between the curve y=3^(x-1)log_(e)x and y=x^(x)-1 , at the point of intersection (1,0) is

    A
    0
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    1
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    `(sqrt3)/(2)`
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