JEE Mains · Maths · STD 11 - 4.1 complex nubers
Let \(z_1=2+3 i\) and \(z_2=3+4 i\). The set \(S =\left\{ z \in C :\left| z - z _1\right|^2-\left|z-z_2\right|^2=\left|z_1-z_2\right|^2\right\}\) represents a
- A straight line with sum of its intercepts on the coordinate axes equals \(14\)
- B hyperbola with the length of the transverse axis \(7\)
- C straight line with the sum of its intercepts on the coordinate axes equals \(-18\)
- D hyperbola with eccentricity \(2\)
Answer & Solution
Correct Answer
(A) straight line with sum of its intercepts on the coordinate axes equals \(14\)
Step-by-step Solution
Detailed explanation
\(\left((x-2)^2+(y-3)^2\right)-\left((x-3)^2-(y-4)^2\right)=1+1\) \(\Rightarrow x + y =7\)
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