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If theta is the angle between the lines ...

If `theta` is the angle between the lines `x/a+y/b=1` and `x/b+y/a=1` find the value of `sin theta`.
when `a gtb`.

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)-b^(2))/(a^(2)+b^(2))`
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Knowledge Check

  • If theta is the angle between the lines x//a+y//b=1, x//b+y//a=1 , then cos theta=

    A
    `(2ab)/(a^(2)+b^(2))`
    B
    `(ab )/(a^(2)+b^(2))`
    C
    `(a^(2)+b^(2))/(2ab)`
    D
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  • If theta is the angle between the curves y=x^2,x=y^2 at (1,1), than tan theta =

    A
    3
    B
    `3//4`
    C
    `3//5`
    D
    `5//14`

  • If theta is the angle between y=2x+3, y=x+1 , the value of tan theta=

    A
    `21//5`
    B
    `1//3`
    C
    `5//3`
    D
    `-2`

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