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If |(Z-5i)/(Z+5i)|=1,then show that Z in...

If `|(Z-5i)/(Z+5i)|=1`,then show that `Z in R`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 9-EXERCISE
  1. Prove that tan(pi//4+theta)-tan(pi//4-theta)=2tan2theta

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  2. Three sides of a triangle are. 3 cm, 5 cm, 7 cm. Find the value of its...

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  3. If |(Z-5i)/(Z+5i)|=1,then show that Z in R

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  4. In a plane, if n number.of parallel lines intersect the P numbers of p...

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  5. In the expansion of (3x^2-1/x^3)^10:find the 7th term.

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  6. If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

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  7. If the three straight lines y = 3x- 1, 2y = x + 3 and 3y - 4 = mx are ...

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  8. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

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  9. If S=at^2+bt+c find [ds/dt]'t=2

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  10. If f(x) =1/x , then show thatlim(hrarr0)(f(2+h)-f(2))/h=-1/4

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  11. Find the probability of 53 Sunday in a Leap year ?

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  12. Show that the mean deviation with respect to Arithmetic mean is zero

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  13. If f(x)=1/x^2,show that f(x)-f(x+1)=(2x+1)/(x^2(x+1)^2)and hence again...

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  14. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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  15. Show that tan20^@tan40^@tan80^@=sqrt3

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  16. Prove the following by the method of mathematical induction. :n^3+(n+1...

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  17. If the sum of 1+2r+3r^2+4r^3+...oo9/16,find the value of r.

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  18. In how many ways can the crew of an 8-oared boat be arranged if 2 of t...

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  19. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

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  20. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

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