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Complex Numbers and Quadratic Equations
The least value of $\mid z_1+z_2\mid$ if $z_1=24+7i$ and $|z_2|=6$ is :
$\begin{array}{1 1}(A)\;19&(B)\;25\\(C)\;31&(D)\;\text{None}\end{array} $
jeemain
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complex-numbers-and-quadratic-equations
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asked
Apr 10, 2014
by
sreemathi.v
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May 16, 2014
by
yamini.v
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1 Answer
http://clay6.com/mpaimg/1_jee8diff.png
Least value =Distance AC
$\Rightarrow OC-OA$
$\Rightarrow \sqrt{(24)^2+(7)^2}-6$
$\Rightarrow 25-6=19$
Hence (A) is the correct answer.
answered
Apr 10, 2014
by
sreemathi.v
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