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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`

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The correct Answer is:
D
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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)`
    C
    `(11)/(9sqrt2)`
    D
    `(2)/(7)`

  • What is the acute angle between the curves xy=2 and y^2=4x at their point of intersection ?

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

  • The acute angle between the curve y^2=x and x^2=y at (1,1) is

    A
    `tan^-1(4/5)`
    B
    `tan^-1(3/4)`
    C
    `tan^-1(1)`
    D
    `tan^-1(4/3)`

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