Let \( C_{1} \) and \( C_{2} \) are concentric circles of radius 1 and \( 8 / 3 \) respectively ...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=hjmqCh8JVzo



Duration: 7:44
1 views
0


Let \( C_{1} \) and \( C_{2} \) are concentric circles of radius 1 and \( 8 / 3 \) respectively having centre at \( (3,0) \) on the argand plane. If the complex number \( z \) satisfies the inequality,
\( \log _{1 / 3}\left(\frac{|z-3|^{2}+2}{11|z-3|-2}\right)1 \) then:
(a) \( z \) lies outside \( C_{1} \) but inside \( C_{2} \)
(b) \( z \) lies inside of both \( C_{1} \) and \( C_{2} \)
(c) \( z \) lies outside both of \( C_{1} \) and \( C_{2} \)
(d) none of these.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03Comprehension Read the following write up carefully answer the following questions: The complex ...
2023-07-03If \( z_{1}=a+\mathrm{ib} \) and \( z_{2}=c+\mathrm{id} \) two complex numbers lying on the circ...
2023-07-03Suppose \( A\left(z_{1}\right), B\left(z_{2}\right) \) and \( C\left(z_{3}\right) \) are vertice...
2023-07-03Comprehension- \( \quad \) Aregular heptagon (seven sides) is inscribed in a circle of radius 1 ...
2023-07-03Comprehension In an argand plane \( z_{1}, z_{2} \) and \( z_{3} \) are resepectively the vertic...
2023-07-03If \( 1, \alpha_{1}, \alpha_{2} \ldots \ldots, \alpha_{2008} \) are \( (2009)^{\text {th }} \) r...
2023-07-03The reflection of the complex number \( \frac{2+i}{3-i} \) in the straight line \( z(1+i)=\bar{z...
2023-07-03If \( \left|\frac{z-\alpha}{z-\beta}\right|=k, k0 \) where, \( z=x+i y \) and \( \alpha=\alpha_{...
2023-07-03Let \( a, b, c \) be distinct complex numbers with \( |a|=|b|=|c|=1 \) and \( z_{1}, z_{2} \) be...
2023-07-03Let \( z_{1} \), and \( z_{2} \) be roots of the equation \( z^{2}+8(i-1) z+63-16 i \) \( =0 \) ...
2023-07-03Let \( C_{1} \) and \( C_{2} \) are concentric circles of radius 1 and \( 8 / 3 \) respectively ...
2023-07-03If \( z_{1} \) and \( z_{2} \) be non zero complex numbers satisfying the equation \( z_{1}^{2}-...
2023-07-03If the points \( A(z), B(-z), C(1-z) \) are the vertices of an equilateral triangle \( \mathrm{A...
2023-07-03Let \( P \) denotes a complex number \( z \) on the Argands plane, and \( Q \) denotes a complex...
2023-07-03Let a be a complex number such that \( |a|1 \) and \( z_{1}, z_{2}, z_{3} \), ... be the vertice...
2023-07-03Which of the following represents a point on an argands plane, equidistant from the roots of the...
2023-07-03Let \( z_{1}, z_{2} \) and \( z_{3} \) represent the vertices \( A, B \) and \( C \) of the tria...
2023-07-03Let the complex number \( z_{1}, z_{2}, z_{3} \) represents vertices of an equilateral triangle....
2023-07-03Let \( z_{1}=10+6 i \) and \( z_{2}=4+6 i \). Then prove that all the complex number satisfying ...
2023-07-03Prove that all roots of the equation \( \left(\frac{z+1}{z}\right)^{n}=1 \) are collinear on the...
2023-07-03If \( \alpha=e^{i\left(\frac{2 \pi}{7}\right)} \), then form a quadratic equation whose roots ar...