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Recent questions tagged complex number and quadratic equation
+1
vote
1
answer
Reduce (1/1-4i-2/1+i)(3-4i/5+i) to the standard form.
asked
Apr 2, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+3
votes
1
answer
For a positive integer n, find the value of (1 – i)^n(1 - 1/i)^n
asked
Mar 26, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
jee mains
+2
votes
1
answer
If (a^2 +1)^2 / (2a –i) = x + iy, then what is the value of x^2 + y^2 ?
asked
Mar 22, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+2
votes
1
answer
The equation (bar)zz + (bar)az + (bar)az + b = 0, b ∈ R represents a circle, if
asked
Mar 15, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
jee mains
complex numbers
+2
votes
1
answer
Express the following in a + ib form [(1/3 + i7/3) + (4 + i1/3)] - (- 4/3 + i)
asked
Mar 13, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
definite integral
jee mains
complex numbers
+1
vote
1
answer
Show that | z-2/z-3| = 2 represents a circle . Find its center and radius .
asked
Mar 12, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+3
votes
1
answer
If (1 + i) z = (1 – i) z (Bar), then show that z = – i z (Bar) .
asked
Mar 10, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
jee mains
+2
votes
1
answer
If x – iy =.√a-ib/c-id prove that (x^2+y^2)^2=a^2+b^2/c^2+d^2
asked
Mar 10, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
complex numbers
quadratic equations
+3
votes
1
answer
Convert the given complex number in polar form: 1 – i
asked
Mar 9, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+1
vote
1
answer
Express the given complex number in the form a + ib: i^9 + i^19
asked
Mar 8, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+2
votes
1
answer
Solve the equation x^2 + 3x + 5 = 0
asked
Mar 6, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+2
votes
1
answer
Find real θ such that (3 + 2isinθ)/(1 - 2isinθ) is purely real
asked
Mar 2, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
quadratic equations
jee mains
complex numbers
+3
votes
1
answer
Solve the equation 3x^2-4x+20/3=0
asked
Mar 1, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
jee mains
+1
vote
1
answer
Find the multiplicative inverse of the complex number –i
asked
Feb 28, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
jee mains
+2
votes
1
answer
Find |(1+i)(2+i)/(3+i)|
asked
Feb 21, 2019
in
JEE
by
kratos
complex number and quadratic equation
jee
jee mains
+3
votes
1
answer
Write the complex number z = (1-i)/(cosπ/3 + isinπ/3) in polar form.
asked
Feb 17, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
jee mains
complex numbers
+2
votes
1
answer
What is the locus of z, if amplitude of z – 2 – 3i is π/4 ?
asked
Feb 16, 2019
in
Class 11
by
kratos
complex number and quadratic equation
class-11
+2
votes
1
answer
The sum of all real values of x satisfying the equation (x^2 - 5x + 5)^x2 + 4x - 60 = 1
asked
Feb 14, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
quadratic equation
quadratic equations
jee mains
complex numbers
+3
votes
1
answer
The sum of all the real values of x satisfying the equation 2^(x - 1)(x2 + 5x - 50) = 1 is
asked
Feb 9, 2019
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
quadratic equation
quadratic equations
jee mains
complex numbers
+2
votes
1
answer
If α, β ∈ C are the distinct roots, of the equation x^2 – x + 1 = 0, then α^(101) + β^(107) is equal to
asked
Feb 1, 2019
in
JEE
by
kratos
complex number and quadratic equation
jee mains 2018
jee
jee mains
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