A) An ellipse
B) \[\varphi \]
C) Line segment joining of point \[2+3i\] and \[-2+6i\]
D) None of these
Correct Answer: B
Solution :
\[|z-{{z}_{1}}|+|z-{{z}_{2}}|=2a\] when \[|{{z}_{1}}-{{z}_{2}}|\le 2a\], then it is an ellipse \[{{z}_{1}}=2+3i\] and \[{{z}_{2}}=-2+6i\] \[{{z}_{1}}-{{z}_{2}}=(2+3i)-(-2+6i)=4-3i\] \[|{{z}_{1}}-{{z}_{2}}|=|4-3i|\] = \[\sqrt{{{4}^{2}}+{{(-3)}^{2}}}=5\] But \[5<4\] is false, because in any triangle sum of two sides is not smaller than third side. \[\therefore \] \[P(z)\] is not represent locus of any point.
You need to login to perform this action.
You will be redirected in
3 sec
