English

Write the conjugates of the following complex number: 5i - Mathematics and Statistics

Advertisements
Advertisements

Question

Write the conjugates of the following complex number:

5i

One Line Answer
Advertisements

Solution

Conjugate of 5i is – 5i

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Complex Numbers - Exercise 1.1 [Page 6]

RELATED QUESTIONS

Reduce `(1/(1-4i) - 2/(1+i))((3-4i)/(5+i))` to the standard form.


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


Simplify the following and express in the form a + ib:

(2 + 3i)(1 – 4i)


Simplify the following and express in the form a + ib:

`(4 + 3"i")/(1 - "i")`


Find the value of : x3 + 2x2 – 3x + 21, if x = 1 + 2i


Find the value of: x3 – 3x2 + 19x – 20, if x = 1 – 4i


Write the conjugates of the following complex number:

cosθ + i sinθ


Find the value of i + i2 + i3 + i4 


Find the value of 1 + i2 + i4 + i6 + i8 + ... + i20


If x + iy = (a + ib)3, show that `x/"a" + y/"b"` = 4(a2 − b2)


If (a + ib) = `(1 + "i")/(1 - "i")`, then prove that (a2 + b2) = 1


If (x + iy)3 = y + vi then show that `(y/x + "v"/y)` = 4(x2 – y2)


Select the correct answer from the given alternatives:

The value of is `("i"^592 + "i"^590 + "i"^588 + "i"^586 + "i"^584)/("i"^582 + "i"^580 + "i"^578 + "i"^576 + "i"^574)` is equal to:


Select the correct answer from the given alternatives:

`sqrt(-3) sqrt(-6)` is equal to


Answer the following:

Simplify the following and express in the form a + ib:

(2 + 3i)(1 − 4i)


Answer the following:

Simplify the following and express in the form a + ib:

`5/2"i"(-4 - 3"i")`


Answer the following:

Simplify the following and express in the form a + ib:

(1 + 3i)2(3 + i)


Answer the following:

Solve the following equation for x, y ∈ R:

(4 − 5i)x + (2 + 3i)y = 10 − 7i


Answer the following:

Evaluate: i131 + i49 


Answer the following:

Simplify: `("i"^29 + "i"^39 + "i"^49)/("i"^30 + "i"^40 + "i"^50)`


Answer the following:

Simplify: `("i"^238 + "i"^236 + "i"^234 + "i"^232 + "i"^230)/("i"^228 + "i"^226 + "i"^224 + "i"^222 + "i"^220)`


If z1 = 2 – 4i and z2 = 1 + 2i, then `bar"z"_1 + bar"z"_2` = ______.


If z1, z2, z3 are complex numbers such that `|z_1| = |z_2| = |z_3| = |1/z_1 + 1/z_2 + 1/z_3|` = 1, then find the value of |z1 + z2 + z3|.


Locate the points for which 3 < |z| < 4.


State true or false for the following:

The argument of the complex number z = `(1 + i sqrt(3))(1 + i)(cos theta + i sin theta)` is `(7pi)/12 + theta`.


Number of solutions of the equation z2 + |z|2 = 0 is ______.


If `((1 + i)/(1 - i))^3 - ((1 - i)/(1 + i))^3` = x + iy, then find (x, y).


If |z1| = |z2| = ... = |zn| = 1, then show that |z1 + z2 + z3 + ... + zn| = `|1/z_1 + 1/z_2 + 1/z_3 + ... + 1/z_n|`.


Find the complex number satisfying the equation `z + sqrt(2) |(z + 1)| + i` = 0.


If |z + 4| ≤ 3, then the greatest and least values of |z + 1| are ______ and ______.


Which of the following is correct for any two complex numbers z1 and z2?


The complex number z which satisfies the condition `|(i + z)/(i - z)|` = 1 lies on ______.


A complex number z is moving on `arg((z - 1)/(z + 1)) = π/2`. If the probability that `arg((z^3 -1)/(z^3 + 1)) = π/2` is `m/n`, where m, n ∈ prime, then (m + n) is equal to ______.


Let z be a complex number such that `|(z - i)/(z + 2i)|` = 1 and |z| = `5/2`. Then the value of |z + 3i| is ______.


Simplify the following and express in the form a+ib.

`(3"i"^5 + 2"i"^7 + "i"^9)/("i"^6 + 2"i"^8 + 3"i"^18)`


Simplify the following and express in the form a + ib.

`(3i^5+2i^7+i^9)/(i^6+2i^8+3i^18)`


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×