if A={z belongs to c:z=x+ix-1 for all x belonging to real no.s} and |z|≤|w|,w belongs to A then z is

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Let z 1 ,z 2 ,z 3 are three pairwise distinct complex numbers and t 1 ,t 2 ,t 3 are non negative real numbers such that t 1 +t 2 +t 3 =1. prove that the complex number z=t 1 z 1 +t 2 z 2 +t...
Let A represent the vertex z 1 , with B and C similarly defined. Let z be the point P We can write z = t 1 z 1 +t 2 z 2 +t 3 z 3 = t 1 z 1 +t 2 z 2 + (1-t 1 -t 2 )z 3 so that z-z 3 = t 1 (z...
mycroft holmes 14 days ago
Is the function f (x) = |x^2 - x| differentiable at x = 2. If yes find it’s derivative.
Yes fuction will be differentiable at x =2. which can easily be seen by graph of the function. First draw the graph of y = x2-x and then take mode. Derivative will be = 2x-1 at x= 2...
ruchi yadav 4 months ago
Yes, for x>1, the f(x) = x^2 - x It if a polynomial function. Hence it is differentiable at x=2. Thanks & Regards Bharat Bajaj askIITians Faculty
bharat bajaj 4 months ago
yes, for x>1 f(x)=x^2-x f'(x)=2x-1 f'(2)=4-1 Sher Mohammad B.Tech, IIT Delhi
Sher Mohammad 4 months ago
If p , p’ are the lengths of the perpendiculars from the origin from the straight line, whose equations are xsecR+ycosecR=a amd xcosR-ysinR=acos2R, then show that 4p2 + 4p’2=a2 .
Hello Student from what i understand by your representation. Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
Arun Kumar 17 days ago
if period of function cos(nx).sin(5x/n) is 3 pi, then number of integral values of n are ; Ans: ±1, ±3, ±5, ±15
Ans: Period: 3pi Solving this equation, we have
Jitender Singh 15 days ago
Find doamin of f(x) g(x)=|sinx|+sinx h(x)=sinx+cosx ,0 f(x)=(log h(x) g(x)) 1/2 log is in square root answer is pi/6,pi/2 pls give two solution graph and analytical. thanks
g(x) and h(x) have condition that x is in between 0 and pi both included
vineet nimesh 24 days ago
g(x) and h(x) has condition 0
vineet nimesh 24 days ago
What is the relation between the distances of Orthocentre, circumcentre and centroid in coordinate geomtry?
O = orthocentre G = centroid C = circumcentre so orthocentre , centroid and circumcentre belong to a straight line , called Line of Euler . thanks and regards
Ajay Verma yesterday
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