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The angle of intersection of the curves ...

The angle of intersection of the curves `x^(2)+y^(2)=8` and `x^(2)=2y` at the point (2, 2) is

A

`tan^(-1). (1)/(2)`

B

`tan^(-1). 1/3`

C

`tan^(-1)2`

D

`tan^(-1)3`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The angle of intersection of the two curves xy=a^(2) and x^(2)-y^(2)=2b^(2) is :

    A
    `pi//3`
    B
    `pi//6`
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    D
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  • Angle of intersection of the curves y = x^(2) and 6y = 7- x^(3) at (1,1)

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    `pi/4`
    B
    `pi/3`
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    `pi/2`
    D
    `pi/6`

  • The lines joining the origin to the point of intersection of the curves x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)+2fy-c=0 are at right angles if

    A
    `g^(2)-f^(2)=c`
    B
    `g^(2)+f^(2)=c`
    C
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    D
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