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anonymous
 5 years ago
z+4 + Z4 = 10 is contained or equal to
a. ellipse with eccentricity 4/5
b. hyperbola with eccentricity 4/5
c. parabola
d. none of these.
Where Z is complex Number ?????
Pls Help How to Solve These Types Of Question And what are complex number conditions for ellipse, hyperbola, circle, parabola etc.....
anonymous
 5 years ago
z+4 + Z4 = 10 is contained or equal to a. ellipse with eccentricity 4/5 b. hyperbola with eccentricity 4/5 c. parabola d. none of these. Where Z is complex Number ????? Pls Help How to Solve These Types Of Question And what are complex number conditions for ellipse, hyperbola, circle, parabola etc.....

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0please anyone, how to solve this ????

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0For a circle centered at \[z_0=a+bi\] with radius C the condition must be \[\leftzz_0\right=C^2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what is value of Z here ...... its ans is " option a" but how to solve this ??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The value of Z is an arbitrary complex number... you need an infinite number of z who satisfy the condition to draw the circle on the complex plain...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is an ellipse with equation\[\frac{x^2}{5^2}+\frac{y^2}{3^3}=1\]which implies eccentricity of\[e=\sqrt{1(\frac{3}{5})^2}=\frac{4}{5}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[z=x+iy \rightarrow z=\sqrt{x^2+y^2}\]this is what you use to solve this.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[z+4=(x+iy)+4=(x+4)+iy=\sqrt{(x+4)^2+y^2}\]Similarly with the second magnitude.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0by definition, ellipse is the locus of all those points the sum of whose distance from two fixed point is a constant here either u can solve the eq by putting z= x+iy or u can directly find it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0z+4 is the distance of all z from (4,0) and z4 is the distance of all z from (4,0)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0as the sum of distances from two fixed points is 10, a constant, thus it is an ellipse

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks Lokisan,conighion, uzma , and what in case of hyperbola .............. lokisan very very thanks, awesome help by u and others

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in case of hyperbola, we take the diffence from two fixed points

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0From: http://en.wikipedia.org/wiki/Conic_section "Over the complex numbers ellipses and hyperbolas are not distinct"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hyperbolas typically have f(z)  g(z) = a but you have to check using definitions for z and absolute value, since sometimes you can get degenerate conics from these equations (like straight lines).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the basic idea is to solve the complex equation and fid the equation and then compare it with the equation of circle ellipse, hyper etc

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Pretty much. Your finding the locus of points that satisfy the condition you're given.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0k,this question is asked every year in Many Indian Engineering Entrance Exam in different form , thanks all, now i get it, this help me lot.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0np probs. good luck with it :)
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