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Master chapters and concepts systematically with practice questions compiled across all exam boards.

Total Questions: 525
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Complex & Quadratic (45 Items)

#1
A point P represents a complex number z...
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#2
A, B represent the complex numbers z1, z2...
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#3
If alpha, beta are the roots of 6x^2...
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#4
If , are the roots of the equation...
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#5
If a and b are such that x^2...
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#6
If alpha, beta, gamma are the roots of...
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#7
If (2x^3 - 7x^2 - 2x + 20)...
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#8
[ sin 2pi/9 + icos 2pi/9 + 1...
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#9
The number of integral values of 'm' for...
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#10
If α, β, γ are the roots of...
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#11
If z1 = sqrt(3) + isqrt(3) and z2...
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#12
The values of x, which satisfy both the...
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#13
If α, β, γ are roots of the...
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#14
The number of times the digit 5 occurs...
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#15
Let α, α+2, α ∈ Z, be the...
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#16
Let x and y be real numbers such...
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#17
Let a, b, c ∈ {1, 2, 3,...
#18
Let α, β be the roots of the...
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#19
Let the circles C1: |z| = r and...
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#20
If the set of all solutions of x^2...
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#21
Let z be a complex number such that...
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#22
Let S = {z ∈ C | z^2...
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#23
If alpha = 1 and beta = 1+i*sqrt(2),...
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#24
If the quadratic equation (λ+2)x^2 - 3λx +...
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#25
Let a, b ∈ C. Let α, β...
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#26
Let tan A, tan B, where A, B...
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#27
Let α, β be the roots of the...
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#28
Let z1, z2 ∈ C be the distinct...
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#29
Consider the quadratic equation (n^2 - 2n +...
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#30
The number of values of z in C,...
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#31
Let one root of the quadratic equation in...
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#32
Let the set of all values of k...
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#33
Let Pn = α^n + β^n, n ∈...
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#34
Let z be a complex number such that...
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#35
If the set of all a in R...
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#36
Let alpha and beta be the roots of...
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#37
Let z ∈ C be such that (z^2+3i)/(z-2+i)...
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#38
Let the equation x(x+2)(12-k) = 2 have equal...
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#39
If z1, z2, z3 ∈ C are the...
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#40
If alpha is a root of the equation...
#41
Among the statements (S1) : The set {...
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#42
Let the set of all values of p...
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#43
The number of real roots of the equation...
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#44
If the locus of z ∈ C, such...
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#45
Let A = { θ ∈ [0, 2π]...
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