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If z=x+iy and (z-i)/(z+1)is purely imagi...

If z=x+iy and `(z-i)/(z+1)`is purely imaginary,then show that the point z always lies on a circle.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. Prove by mathematical induction.1/1.3+1/3.5+1/5.7+....+1/((2n-1)(2n+1)...

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  4. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

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  5. The equation of the two adjacent sides of a parallelogram are 4x+ 5y =...

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  6. In a rectangle, the co-ordinates of the end point of a diagonal are (2...

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  10. If f(x)=x|x|,prove that f'(x)=2|x|.

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  11. ‘If x is a whole number and x^2 is even, then x is also an even number...

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  12. ‘If a and b are two odd integer, then (a + b) is an even intege.”—exam...

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