मराठी

Write the conjugates of the following complex numbers: 2+3 i - Mathematics and Statistics

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प्रश्न

Write the conjugates of the following complex numbers: `sqrt(2) + sqrt(3)  "i"`

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उत्तर

Conjugate of `sqrt(2) + sqrt(3)  "i"  "is"  sqrt(2) - sqrt(3)  "i"`

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पाठ 3: Complex Numbers - EXERCISE 3.1 [पृष्ठ ३७]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
पाठ 3 Complex Numbers
EXERCISE 3.1 | Q 1) vii) | पृष्ठ ३७

संबंधित प्रश्‍न

Write the conjugates of the following complex numbers: 3 + i


Write the conjugates of the following complex numbers: 3 – i


Write the conjugates of the following complex numbers: `-sqrt(5) - sqrt(7)  "i"`


Write the conjugates of the following complex number:

`-sqrt(-5)`


Write the conjugates of the following complex numbers: 5i


Write the conjugates of the following complex numbers: `sqrt(5) - "i"`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values  of a and b:

(1 + 2i)(– 2 + i)


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values  of a and b: `("i"(4 + 3"i"))/((1 - "i"))`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values  of a and b: `((2 + "i"))/((3 - "i")(1 + 2"i"))`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: `(2 + sqrt(-3))/(4 + sqrt(-3))`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: (2 + 3i)(2 – 3i)


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: `(4"i"^8 - 3"i"^9 + 3)/(3"i"^11 - 4"i"^10 - 2)`


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


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


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


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


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


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


Evaluate the following:

`i^35`


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