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Mathematics: Post your doubts here!

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View attachment 9581
w = -1 + i
w^2 = 0 - 2i
To find centre of circle, use midpoint formula:
= [ {(-1 + 0) / 2} , {(i - 2i) / 2} ]
= [-0.5 , -0.5i ]

To find radius find half the length of w to w^2
= 0.5 * | {-1 - (0)} , {i - (-2i)} |
= 0.5 * | -1 , 3i |
Find length by taking modulus
radius = 0.5 * root [ (-1)^2 + (3)^2 ]
= 0.5 * root [1 + 9]
= 0.5 * root (10)

Now write the equation in the form |z − (a + bi)| = k
where (a + bi) is the coordinate of the centre of the circle
and k is the radius

how did you find the radius?
 
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in ON11 P31, Q1, we found x using 'ln'. What i want to know is if there is a constant on one side do i take it as ln3 or lne^3, In this question they took ln3 while in other questions for eg, differential equations we take it as lne^3. Please Help.
Post the links!
 
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