मराठी

If find z1=2−i,z2=1+i, find |z1+z2+1z1−z2+i|

Advertisements
Advertisements

प्रश्न

If \[z_1 = 2 - i, z_2 = 1 + i,\text {  find } \left| \frac{z_1 + z_2 + 1}{z_1 - z_2 + i} \right|\]

बेरीज
Advertisements
This question doesn't have a solution currently. Please check again in a few days.
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Complex Numbers - Exercise 13.2 [पृष्ठ ३२]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 13 Complex Numbers
Exercise 13.2 | Q 5 | पृष्ठ ३२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)


Express the given complex number in the form a + ib:

`[(1/3 + i 7/3) + (4 + i 1/3)] -(-4/3 + i)`


Express the given complex number in the form a + ib: (1 – i)4


Express the given complex number in the form a + ib: `(1/3 + 3i)^3`


Evaluate: `[i^18 + (1/i)^25]^3`


Let z1 = 2 – i, z2 = –2 + i. Find `"Im"(1/(z_1barz_1))`


Evaluate the following:

\[\left( i^{41} + \frac{1}{i^{257}} \right)^9\]


Show that 1 + i10 + i20 + i30 is a real number.


Find the value of the following expression:

i49 + i68 + i89 + i110


Find the value of the following expression:

i + i2 + i3 + i4


Find the value of the following expression:

\[\frac{i^{592} + i^{590} + i^{588} + i^{586} + i^{584}}{i^{582} + i^{580} + i^{578} + i^{576} + i^{574}}\]


Find the value of the following expression:

1+ i2 + i4 + i6 + i8 + ... + i20


Find the value of the following expression:

(1 + i)6 + (1 − i)3


Express the following complex number in the standard form a + i b:

\[(1 + i)(1 + 2i)\]


Find the real value of x and y, if

\[(1 + i)(x + iy) = 2 - 5i\]


Find the multiplicative inverse of the following complex number:

1 − i


If \[\frac{z - 1}{z + 1}\] is purely imaginary number (\[z \neq - 1\]), find the value of \[\left| z \right|\].


What is the smallest positive integer n for which \[\left( 1 + i \right)^{2n} = \left( 1 - i \right)^{2n}\] ?


Express the following complex in the form r(cos θ + i sin θ):

 tan α − i


If z1 and z2 are two complex numbers such that \[\left| z_1 \right| = \left| z_2 \right|\] and arg(z1) + arg(z2) = \[\pi\] then show that \[z_1 = - \bar{{z_2}}\].


Write the value of \[\frac{i^{592} + i^{590} + i^{588} + i^{586} + i^{584}}{i^{582} + i^{580} + i^{578} + i^{576} + i^{574}}\] .


Write the least positive integral value of n for which  \[\left( \frac{1 + i}{1 - i} \right)^n\] is real.


If \[\left| z \right| = 2 \text { and } \arg\left( z \right) = \frac{\pi}{4}\],find z.


If i2 = −1, then the sum i + i2 + i3 +... upto 1000 terms is equal to


The principal value of the amplitude of (1 + i) is


If z is a non-zero complex number, then \[\left| \frac{\left| z \right|^2}{zz} \right|\] is equal to


The value of (i5 + i6 + i7 + i8 + i9) / (1 + i) is


\[\frac{1 + 2i + 3 i^2}{1 - 2i + 3 i^2}\] equals


Simplify : `4sqrt(-4) + 5sqrt(-9) - 3sqrt(-16)`


Find a and b if (a + ib) (1 + i) = 2 + i


Show that 1 + i10 + i20 + i30 is a real number


If a = cosθ + isinθ, find the value of `(1 + "a")/(1 - "a")`.


State True or False for the following:

The order relation is defined on the set of complex numbers.


Show that `(-1+ sqrt(3)i)^3` is a real number.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×