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The locus of any point P(z) on argand pl...

The locus of any point `P(z)` on argand plane is `arg((z-5i)/(z+5i))=(pi)/(4)`.
Then the length of the arc described by the locus of `P(z)` is

A

`75pi+50`

B

`75pi`

C

`(75pi)/(2)+25`

D

`(75pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)`
Required are `=2[(1)/(2)xx(5sqrt(2))^(2)+(1)/(2)(5sqrt(2))^(2)xx(3pi)/(2)]`
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