Advertisements
Advertisements
Question
Find the modulus of the following complex numbers
2i(3 – 4i)(4 – 3i)
Solution
2i(3 – 4i)(4 – 3i) = |2i| |3 – 4i| |4 – 3i|
= `2sqrt(9 + 16) sqrt(16 + 9)`
= 2 × 5 × 5
= 50
APPEARS IN
RELATED QUESTIONS
Find the modulus of the following complex numbers
`(2"i")/(3 + 4"i")`
Find the modulus of the following complex numbers
`(2 - "i")/(1 + "i") + (1 - 2"i")/(1 - "i")`
For any two complex numbers z1 and z2, such that |z1| = |z2| = 1 and z1 z2 ≠ -1, then show that `(z_1 + z_2)/(1 + z_1 z_2)` is real number
Which one of the points 10 – 8i, 11 + 6i is closest to 1 + i
If |z| = 3, show that 7 ≤ |z + 6 – 8i| ≤ 13
If |z| = 1, show that 2 ≤ |z2 – 3| ≤ 4
If |z| = 2 show that the 8 ≤ |z + 6 + 8i| ≤ 12
If z1, z2 and z3 are three complex numbers such that |z1| = 1, |z2| = 2, |z3| = 3 and |z1 + z2 + z3| = 1, show that |9z1z2 + 4z1z3 + z2z3| = 6
If the area of the triangle formed by the vertices z, iz, and z + iz is 50 square units, find the value of |z|
Find the square roots of – 6 + 8i
Find the square roots of – 5 – 12i
Choose the correct alternative:
If = `((sqrt(3) + "i")^3 (3"i" + 4)^2)/(8 + 6"i")^2`, then |z| is equal to
Choose the correct alternative:
If z is a non zero complex number, such that 2iz2 = `bar(z)` then |z| is
The square roots of -18i are ______
If α and β are roots of the equation x2 + 5|x| – 6 = 0, then the value of |tan–1α – tan–1 β| is ______.
