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if theta denotes the acute angle between...

if `theta` denotes the acute angle between the curves, `y = 10-x^2" and " y=2+x^2` at a point of their intersection, then `abstantheta` is equal to

A

`4//9`

B

`7//17`

C

`8//17`

D

`8//15`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The angle between the curves y= sin x and y= cos x is-

    A
    `tan^(-1)(5sqrt(2))`
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    `tan^(-1)(3sqrt(3))`
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    B
    `pi/4`
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    `tan^-1(2)`
    D
    `tan^-1(2sqrt2)`

  • The area enclosed between the curves y=x and x^(2) =y is equal to-

    A
    ` (1)/(6)`
    B
    ` int _0^(1) (x-x^(2))dx`
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    D
    `(3)/(4)`

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