z is a complex number such that |Re(z)| ...

z is a complex number such that `|Re(z)| + |Im (z)| = 4` then `|z|` can't be

`sqrt(17/2)`

`sqrt(10)`

`sqrt(8)`

`sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:

`D`

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos
JEE MAIN
JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
JEE MAIN
JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos
JEE MAIN 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number such that Re(z)=Im(2), then

If z is a complex numbers such that z ne 0 and "Re"(z)=0 , then

If z is a complex number such that z+i|z|=ibar(z)+1 ,then |z| is -

If z is a complex number such that |z+(1)/(z)|=1 show that Re(z)=0 when |z| is the maximum.

Suppose z is a complex number such that z ne -1, |z| = 1 and arg(z) = theta . Let w = (z(1-bar(z)))/(bar(z)(1+z)) , then Re(w) is equal to

State ture or false for the following. (i) The order relation is defined on the set of complex numbers. (ii) Multiplication of a non-zero complex number by -i rotates the point about origin through a right angle in the anti-clockwise direction.(iiI) For any complex number z, the minimum value of |z|+|z-1| is 1. (iv) The locus represent by |z-1|= |z-i| is a line perpendicular to the join of the points (1,0) and (0,1) . (v) If z is a complex number such that zne 0" and" Re (z) = 0, then Im (z^(2)) = 0 . (vi) The inequality |z-4|lt |z-2| represents the region given by xgt3. (vii) Let z_(1) "and" z_(2) be two complex numbers such that |z_(1)+z_(2)|= |z_(1)+z_(2)| ,then arg (z_(1)-z_(2))=0 . 2 is not a complex number.

For any complex number z prove that |Re(z)|+|Im(z)|<=sqrt(2)|z|

Suppose z is a complex number such that z ne -1, |z| = 1, and arg(z) = theta . Let omega = (z(1-bar(z)))/(bar(z)(1+z)) , then Re (omega) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS

If x Sigma(n=0)^(oo) (-1)^n " tan "^(2n) " and " y = Sigma(n=0)^(oo)...
Text Solution
|
int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...
Text Solution
|
Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...
Text Solution
|
If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...
Text Solution
|
z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...
Text Solution
|
Let an be the n^(th) term, of a G.P of postive terms. If Sigma(n=1)^...
Text Solution
|
If lim(x rarr 0)x[4/x]= A, then the value of x at which f(x) = [x^2]si...
Text Solution
|
Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...
Text Solution
|
If 10 different balls are to be placed in 4 distinct boxes at random, ...
Text Solution
|
If p rarr (p wedge ~ q) is false. Truth value of p & q will be
Text Solution
|
Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then
Text Solution
|
Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sq...
Text Solution
|
Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be defind...
Text Solution
|
Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...
Text Solution
|
If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} and g...
Text Solution
|
If the distance between the plane 23x-10y-2z+48 =0 and the plane cont...
Text Solution
|
Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|v...
Text Solution
|
If .^25 C0 + 5 .^25 C1 + 9 .^25 C2 .... 101 .^25 C25 = 2^(25) k find k...
Text Solution
|
Find the number of terms common to the two A.P. s : 3,7,11 , 407a n d...
Text Solution
|
If the curves x^2-6x+y^2+8=0 and x^2-8y+y^2+16 -k =0 , (k gt 0) touch...
Text Solution
|