Home
Class 12
MATHS
The complex number z has argument theta ...

The complex number z has argument `theta ,0 lt theta lt (pi)/(2)` and satisfy the equation `|z-3i|=3`. Then prove that `( cot theta-(6)/(z))=i`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VSAQ|2 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|7 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (C)|29 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

The complex z has argument theta (0 lt theta lt (pi)/(2)) and satisfy the equation |z - 3i| = 3 then prove that ( cot theta - (6)/(z)) = i

The graph of tan theta , 0 lt theta lt pi is discontinuous at theta =

Solve sin theta + sin 5 theta = sin 3 theta , 0 lt theta lt pi .

If cos theta - sin theta=1/5 , where 0 lt theta lt pi/4 , then:

The complex number z satisfying z^(2) + |z| = 0 is

If cos theta- sin theta=(1)/(5), theta lt theta lt (pi)/(2) then match the following:

The graph of cot theta , pi//2 lt theta lt 3 pi//2 is discontinuous at theta =

Find the most general value of theta that satisfying both the equations "cosec" theta = -2, cot theta = -sqrt(3)

The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on