AP EAMCET · Maths · Complex Number
If a complex number is such that , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Consider a complex equation, z=x+i y Its conjugate is z¯=x-iy Now,(7+i)(z+z¯)-(4+i)(z-z¯)+116i=0 ⇒(7+i)(2x)-(8iy-2y)+116i=0 ⇒(14x+2y)+i(2x-8y+116)=0 The equations obtained are ⇒2x-8y+116=0 ⇒14x+2y=0 From the above two equations,…
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