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Let complex number 'z' satisfy the inequ...

Let complex number 'z' satisfy the inequality `2 le | x| le 4`. A point P is selected in this region at random. The probability that argument of P lies in the interval `[-pi/4,pi/4]` is `1/K`, then K =

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Knowledge Check

  • Number of intergers satisfying the inequality x^4- 29x^2+100 le 0 is

    A
    2
    B
    4
    C
    6
    D
    8

  • Let z be a complex number satisfying |z+16|=4|z+1| . Then

    A
    `|z|=4`
    B
    `|z|=5`
    C
    `|z|=6`
    D
    `3 lt |z| lt68`

  • Let z be a complex number satisfying 1/2 le |z| le 4 , then sum of greatest and least values of |z+1/z| is :

    A
    `65/4`
    B
    `65/16`
    C
    `17/4`
    D
    17

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