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If alpha lies in ll quadrant, beta lies ...

If `alpha` lies in ll quadrant, `beta` lies in III quadrant and `tan (alpha + beta) gt 0`, then `(alpha + beta)` lies in... quadrants.

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The correct Answer is:
I and IV
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Knowledge Check

  • If a lt 0 and b gt 0 then the point (a, b) lies in quadrant

    A
    IV
    B
    II
    C
    III
    D
    None of these

  • If 0 le alpha, beta le 90^(@) and tan(alpha+beta)=3 and tan(alpha-beta)=2, then value of cos 2 beta is :

    A
    `(7)/(5sqrt2)`
    B
    `(1)/(5sqrt2)`
    C
    `(7)/(-5sqrt2)`
    D
    None of these

  • If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =

    A
    `-1`
    B
    0
    C
    none
    D
    1

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