हिंदी

Write the conjugates of the following complex number: 5i

Advertisements
Advertisements

प्रश्न

Write the conjugates of the following complex number:

5i

एक पंक्ति में उत्तर
Advertisements

उत्तर

Conjugate of 5i is – 5i

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Complex Numbers - Exercise 1.1 [पृष्ठ ६]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 1 Complex Numbers
Exercise 1.1 | Q 2. (v) | पृष्ठ ६

संबंधित प्रश्न

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


If `x – iy = sqrt((a-ib)/(c - id))` prove that `(x^2 + y^2) = (a^2 + b^2)/(c^2 + d^2)`


Find the value of: 2x3 – 11x2 + 44x + 27, if x = `25/(3 - 4"i")`


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:

`-sqrt(-5)`


Write the conjugates of the following complex number:

`sqrt(5) - "i"`


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


Find the value of `("i"^6 + "i"^7 + "i"^8 + "i"^9)/("i"^2 + "i"^3)`


If x + iy = `sqrt(("a" + "ib")/("c" + "id")`, prove that (x2 + y2)2 = `("a"^2 + "b"^2)/("c"^2 + "d"^2)` 


Find the value of x and y which satisfy the following equation (x, y ∈ R).

`((x + "i"y))/(2 + 3"i") + (2 + "i")/(2 - 3"i") = 9/13(1 + "i")`


Answer the following:

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

`3 + sqrt(-64)`


Answer the following:

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

`(5 + 7"i")/(4 + 3"i") + (5 + 7"i")/(4 - 3"i")`


Answer the following:

Solve the following equation for x, y ∈ R:

`(x + "i"y)/(2 + 3"i")` = 7 – i


Answer the following:

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


If z ≠ 1 and `"z"^2/("z - 1")` is real, then the point represented by the complex number z lies ______.


The argument of the complex number `(4 + 9i)/(13 + 5i)` is ______


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|.


The real value of ‘a’ for which 3i3 – 2ai2 + (1 – a)i + 5 is real is ______.


State true or false for the following:

If n is a positive integer, then the value of in + (i)n+1 + (i)n+2 + (i)n+3 is 0.


What is the value of `(i^(4n + 1) -i^(4n - 1))/2`?


If the complex number z = x + iy satisfies the condition |z + 1| = 1, then z lies on ______.


If the real part of `(barz + 2)/(barz - 1)` is 4, then show that the locus of the point representing z in the complex plane is a circle.


If |z + 1| = z + 2(1 + i), then find z.


Find `|(1 + i) ((2 + i))/((3 + i))|`.


The real value of α for which the expression `(1 - i sin alpha)/(1 + 2i sin alpha)` is purely real is ______.


The value of `(z + 3)(barz + 3)` is equivalent to ______.


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


If `(3 + i)(z + barz) - (2 + i)(z - barz) + 14i` = 0, then `barzz` is equal to ______.


The complex number z = x + iy which satisfy the equation `|(z - 5i)/(z + 5i)|` = 1, lie on ______.


Find the value of `(i^592+i^590+i^588+i^586+i^584)/(i^582+i^580+i^578+i^576+i^574)`


Show that `(-1 + sqrt3 i)^3` is a real number.


Find the value of `sqrt(-3) xx sqrt(-6)`


If z = 2 + i, then (z − 1) `(barz − 5) + (barz − 1)` (z − 5) is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×