For any complex number \( w=c+i d \), let \( \arg (w) \in(-\pi, \pi] \),
P where \( i=\sqrt{-1} ... VIDEO
For any complex number \( w=c+i d \), let \( \arg (w) \in(-\pi, \pi] \),
P where \( i=\sqrt{-1} \). Let \( \alpha \) and \( \beta \) be real numbers such that for
W) all complex numbers \( z=x+i y \) satisfying \( \arg \left(\frac{z+\alpha}{z+\beta}\right)=\frac{\pi}{4} \), the ordered pair \( (x, y) \) lies on the circle \( x^{2}+y^{2}+5 x-3 y+4=0 \) Then which of the following statements is (are) TRUE?
(a) \( \alpha=-1 \)
(b) \( \alpha \beta=4 \)
(c) \( \alpha \beta=-4 \)
(d) \( \beta=4 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-14 A proton, a neutron, an electron and an \( \alpha \)-particle have ... 2023-02-14 h tr. Hm chms 2023-02-14 In the following circuits, which of the diodes is forward-biased an... 2023-02-14 The function \( f(x)=\left\{\begin{array}{l}1+x, \text { when } x \... 2023-02-14 Three identical solid spheres move down three incline \( A, B \) and \( C \) are all of the same... 2023-02-14 A rolling body is kept on a plank \( B \). There is sufficient friction between \( A \) and \( B... 2023-02-14 The function \( f(x)=|x| \quad \forall x \in R \) is
\( \mathrm{P} ... 2023-02-14 An \( n \)-type semiconductor is the one which has excess of free e... 2023-02-14 Consider a beam of electrons (each electron with energy \( E_{0} \)... 2023-02-14 Two source \( \mathrm{S}_{1} \) and \( \mathrm{S}_{2} \) of intensi... 2023-02-14 For any complex number \( w=c+i d \), let \( \arg (w) \in(-\pi, \pi] \),
P where \( i=\sqrt{-1} ... 2023-02-14 Let \( f \) and \( g \) be differentiable functions on \( \mathrm{R... 2023-02-14 expressed as
In a \( p \) - \( n \) junction, the current I can be
... 2023-02-14 Consider the diffraction patern for a small pinhole. As the size of... 2023-02-14 expressed as
In a \( p-n \) junction, the current I can be
\[
I=I_{... 2023-02-14 Figure shows a standard two slit arrangement with slits \( \mathrm{... 2023-02-14 The wavelength of a photon needed to remove a proton from a nucleus... 2023-02-14 expressed as
In a \( p-n \) junction, the current \( I \) can be
\[... 2023-02-14 expressed as
In a \( p-n \) junction, the current 1 can be
\[
\math... 2023-02-14 A particle falls freely near the surface of the earth. Consider
\( \mathrm{P} \) a fixed point \... 2023-02-14 Show that the \( A=\left[\begin{array}{rrr}1 & 0 & -2 \\ -2 & -1 & ...