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Mathematics: Post your doubts here!

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see first my concept is area of shaded region = 0.5 area of circle
area of shaded region= sector area 1 +sector area 2 - area of two triangle
the unknown wud be AB we can find it by cos rule.
then we equate it to pi r^2 /2
 
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Change x to y and y to x
hence x = 5/1-3y
make y subject, you get y = x-5/3x
change y to f inverse.

Domain of f(x) is range of f inverse and vice-verse

so here domain of f(x) is >= 1 so range of f inverse would be >= 1
Range of f(x) is − 2.5 ≤ x < 0 so domain of f inverse will be − 2.5 ≤ x < 0

:)

Could you please explain the Range bit with some more detail please?
"− 2.5 ≤ x < 0"
 
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Can someone solve this?

28rjchu.png


I solved part (i) easily and part (ii) doesn't depend on part (i) so let it go.
Now in part (ii) I was able to draw the circle with centre i and radius 1. I just wasn't able to draw a locus with angle 3/4 pi to the real axis.

Can someone help me draw the locus and complete the solution of the question?

Thanks in advance,
 
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