Advertisements
Advertisements
प्रश्न
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)
Advertisements
उत्तर
(1 + 2i)(– 2 + i) = – 2 + i – 4i + 2i2
= – 2 – 3i + 2( – 1) ...[∵ i2 = – 1]
∴ (1 + 2i)(– 2 + i) = – 4 – 3i
∴ a = – 4 and b = – 3
APPEARS IN
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 number:
`-sqrt(-5)`
Write the conjugates of the following complex numbers: 5i
Write the conjugates of the following complex numbers: `sqrt(5) - "i"`
Write the conjugates of the following complex numbers: `sqrt(2) + sqrt(3) "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: `(3 + 2"i")/(2 - 5"i") + (3 - 2"i")/(2 + 5"i")`
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)`
Find the value of 1 + i2 + i4 + i6 + i8 + ... + i20.
Show that `(−1 + sqrt3 i)^3` is a real number.
Simplify the following and express in the form a + ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
Show that `(−1+ sqrt3 i)^3` is a real number.
Show that `(−1 + sqrt(3) i)^3` is a real number.
Show that `(-1 + sqrt3"i")^3` is a real number.
Show that `(-1 + sqrt3i)^3` is a real number.
Simplify the following and express in the form a+ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
