Login
Login
Register
Questions
Unanswered
Tags
Categories
Ask a Question
Ask a Question
Recent questions tagged complex number
+1
vote
1
answer
If (x + iy)^3 = u + iv, then show that u/x + v/y = 4(x^2 – y^2)
asked
Apr 6, 2019
in
JEE
by
kratos
jee
quadratic equations
jee mains
complex number
class-12
+3
votes
1
answer
The all possible values of a for which one root of the equation (a – 5)x^2 – 2ax + a – 4 = 0 is smaller than 1 and the other greater than 2 is
asked
Mar 29, 2019
in
Class 12
by
kratos
complex number
class-12
quadratic equations
+3
votes
1
answer
Let α ,β ,γ be the roots of the equation x^3 + 4x + 1 = 0, then (α + β)-1 + (β + γ)^-1 + (γ + α)^-1 equals
asked
Mar 18, 2019
in
Class 12
by
kratos
complex number
class-12
quadratic equations
+1
vote
1
answer
Find the number of integral solution of the equation 7(y+1/y)-2(y^2+1/y^2)=9
asked
Mar 18, 2019
in
JEE
by
kratos
class-11
jee
quadratic equations
class-10
jee mains
complex number
class-12
complex numbers
+3
votes
1
answer
If α ,β are roots of the equation x^2 + px - 1/2p^2 = 0 ,∀p ∈ R - {0}, hen the minimum value of α^4 + β^4 is
asked
Mar 13, 2019
in
Class 12
by
kratos
complex number
class-12
quadratic equations
+3
votes
1
answer
Let r, * and t be the roots of the equation, 8x^3 + 1001x + 2008 = 0.
asked
Feb 26, 2019
in
JEE
by
kratos
rolles theorem
jee
quadratic equations
jee mains
jee main
complex number
class-12
lagranges mean value theorem
+3
votes
1
answer
If at least one root of the equation x^2 – 2ax + a^2 – 1 = 0 is positive, then
asked
Feb 24, 2019
in
JEE
by
kratos
monotonocity
jee
quadratic equations
class-9
jee mains
jee main
complex number
class-12
complex numbers
+1
vote
1
answer
Find the discriminant of the equation 3x^2 – 2x +1/3= 0 and hence find the nature of its roots. Find them, if they are real.
asked
Feb 18, 2019
in
Class 12
by
kratos
cbse
arithmetic progression
quadratic equations
class-10
complex number
class-12
polynomials
+3
votes
1
answer
If a + ib = (x + i)^2/(2x^2 +1), Prove that a^2 + b^2 = (x^2+1)^2/(2x^2+1)^2
asked
Feb 14, 2019
in
JEE
by
kratos
jee
quadratic equations
jee mains
complex number
class-12
+1
vote
1
answer
Let r, * and t be the roots of the equation, 8x^3 + 1001x + 2008 = 0.
asked
Feb 2, 2019
in
JEE
by
kratos
rolles theorem
jee
quadratic equations
jee mains
jee main
complex number
class-12
lagranges mean value theorem
+1
vote
1
answer
Let m, n be the roots of the equation x^2 + qx + r = 0 and let *, t be the roots of the equation x^2 + bx + c = 0.
asked
Jan 28, 2019
in
JEE
by
kratos
jee
quadratic equations
class-9
jee mains
complex number
class-12
+2
votes
1
answer
If the ratio of the roots of the equation x^2 + px + q = 0 are equal to the ratio of the roots of the equation x^2 + bx + c = 0,
asked
Jan 21, 2019
in
Class 12
by
kratos
nda
class-11
quadratic equations
class-9
complex number
class-12
+3
votes
1
answer
If x be real then minimum value of f(x) = x^2 + 2bx + 2c^2 is greater than the maximum value of g(x) = – x^2 – 2cx + b^2 for...
asked
Jan 12, 2019
in
JEE
by
kratos
maxima and minima
the maxima and minima
jee
quadratic equations
jee main
jee mains
complex number
class-12
+1
vote
1
answer
Let α, β be the roots of x^2 - x + p = 0 and γ, δ be the roots . of x^2 - 4x + q = 0.
asked
Jan 5, 2019
in
JEE
by
kratos
jee main 2020
jee
quadratic equations
jee mains
complex number
class-12
sequences and series
+1
vote
1
answer
If α ,β ,γ,δ are roots of x^4 + 4x^3 – 6x^2 + 7x – 9 = 0, then the value of (1 + α^2)(1 + β^2)(1 + γ^2)(1 + δ^2) is
asked
Jan 3, 2019
in
Class 12
by
kratos
complex number
class-12
quadratic equations
+1
vote
1
answer
Let p(x) be a polynomial of least possible degree with rational coefficients, having 1/7^3 + 1/49^3 as one of its roots, then the product
asked
Jan 2, 2019
in
Class 12
by
kratos
complex number
class-12
quadratic equations
+2
votes
1
answer
If α, β are the roots of the equation x^2 – 2px + 2p^4 = 0 (p∈ R), then maximum value of α^2 + β^2 =
asked
Dec 30, 2018
in
JEE
by
kratos
theory of equations
jee
quadratic equations
class-10
jee mains
complex number
class-12
+2
votes
1
answer
If α, β are the roots of the equation, x^2 – 2x + 3 = 0, find the equation whose roots are α^3 – 3α^2 + 5α – 2
asked
Dec 30, 2018
in
JEE
by
kratos
trigonometric functions
class-11
jee
quadratic equations
jee mains
complex number
class-12
complex numbers
+1
vote
1
answer
If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that (a^2 + b^2) (c^2 + d^2) (e^2 + f^2) (g^2 + h^2) = A^2 + B^2
asked
Dec 30, 2018
in
JEE
by
kratos
complex number and quadratic equation
class-11
jee
quadratic equations
jee mains
complex number
complex numbers
+3
votes
1
answer
If tan α/2 and tan β/2 are roots of the equation 8x^2 – 26x + 15 = 0 then cos(α + β) =
asked
Dec 30, 2018
in
JEE
by
kratos
trigonometry
class-11
jee
quadratic equations
jee mains
complex number
class-12
To see more, click for the
full list of questions
or
popular tags
.