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Locus of complex number satisfying "a r ...

Locus of complex number satisfying `"a r g"[(z-5+4i)/(z+3-2i)]= -pi/4` is the arc of a circle (a)whose radius is `5sqrt(2)` (b)whose radius is 5 (c)whose length (of arc) is `(15pi)/(sqrt(2))` (d)whose centre is `-2-5i`

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Knowledge Check

  • The locus of z such that arg[(1-2i)z-2+5i]= (pi)/(4) is a

    A
    line not passing through the origin
    B
    circle not possing through the origin
    C
    line passing through the origin
    D
    circle passing through the origin

  • The area of traingle whose vertices are (0,0),(3,4),and(2,5) is :

    A
    7 sq. units
    B
    7.5 sq units
    C
    5 sq. units
    D
    3.5 sq. units

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