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BITSAT Complex Number PYQs with Solutions

30 previous year questions from Complex Number (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

30 questionsMathematics2009–2024Answers + solutions

About Complex Number PYQs

Complex Number has 30 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 30 questions in this list come from BITSAT (30), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Complex Number PYQs with Solutions

About Complex Number PYQs

Questions by year (this list)

Complex Number questions with solutions

The points represented by the complex number 1+i,-2+3 i, (5)/(3) i on the argand plane are

The modulus of the complex number z such that |z+3-i|=1 and (z)=π is equal to

If z, z ,-z,- z forms a rectangle of area 2 3 square units, then one such z is

If z_1, z_2, … . . z_n are complex numbers such that |z_1|=|z_2|=… . .=|z_n|=1 , then |z_1+z_2+… . .+z_n| is equal to

If |z_1|=2,|z_2|=3,|z_3|=4 and |2 z_1+3 z_2+4 z_3|= 4 , then absolute value of 8 z_2 z_3+27 z_3 z_1+64 z_1 z_2 equals

The modulus of (1+i 3 )(2+2 i) ( 3 -i) is

i^ 57 + 1 i^ 25 , when simplified has the value

If |w|=2 , then the set of points z=w-(1)/(w) is contained in or equal to the set of points z satisfying

The smallest positive integral value of n such that [(1+ (π)/(8)+i (π)/(8))/(1+ (π)/(8)-i (π)/(8))]^n is purely imaginary, is equal to

If z is a complex number such that z^ 2 =( z )^ 2 , then

If z_ 1 = 2 [ (π)/(4)+i (π)/(4)] and z_ 2 = 3 [ (π)/(3)+ i (π)/(3)] then | z_ 1 z_ 2 |is equal to m . Value of m is

If |z_ 1 |=|z_ 2 |=… … … . .|z_ n |=1, then the value of |z_ 1 +z_ 2 +… … . z_ n |-| 1 z_ 1 + 1 z_ 2 +… … .+ 1 z_ n | is,

The value of λ for which the loci argz = (π)/(6) and | z - 2 3 i | = λ on the argand plane touch each other is&

If z _ 1 and &#175; z 1 represents adjacent vertices of a regular polygon of n sides and if Im( z _ 1 ) Re( z _ 1 ) = 2 - 1 , then n is equal to

The n^ th roots of unity are in

If z = a + ib satisfies arg ( z - 1 ) = arg ( z + 3i ) , then ( a - 1 ) : b =

If z _ 1 , z _ 2 and z _ 3 represent the vertices of an equilateral triangle such that | z _ 1 | = | z _ 2 | = | z _ 3 | then

If z_ 1 = 3 +i 3 and z_ 2 = 3 +i , then the complex number ( z_ 1 z_ 2 )^ 50 lies in the :

The root of the equation 2(1+i) x^ 2 -4(2-i) x-5-3 i=0 which has greater modulus is

If complex number z_ 1 , z_ 2 and 0 are vertices of equilateral triangle, then z_ 1 ^ 2 +z_ 2 ^ 2 -z_ 1 z_ 2 is equal to

If z=x+i y, z^ 1 / 3 =a-i b, then (x)/(a)-(y)/(b)=k (a^ 2 -b^ 2 ) where k is equal to

i^ 57 + 1 i^ 25 , when simplified has the value

The complex number z=z+i y which satisfies the equation |(z-3 i)/(z+3 i)|=1, lies on

If the real part of z +2 z -1 is 4, z ≠ 1, then the locus of the point representing z in the complex plane is

If α and β are the roots of x^ 2 -x+1=0, then the equation whose roots are α^ 100 and β^ 100 are

The amplitude of (π)/(5)+i (1- (π)/(5))

If x=ω-ω^ 2 -2, then the value of x^ 4 +3 x^ 3 +2 x^ 2 -11 x-6 is

If \(a > 0, a ∈ ℝ, z=a+2 i\) and \(z|z|-a z+1=0\) then

The roots of the equation \(x²-2 2 x+1=0\) are

For the equation \( (1)/(x+a)-(1)/(x+b)=(1)/(x+c) \), if the product of roots is zero, then the sum of roots is

Related BITSAT Mathematics chapters

Complex Number in other exams

If z _ 1 and ¯ z 1 represents adjacent vertices of a regular polygon of n sides and if Im( z _ 1 ) Re( z _ 1 ) = 2 - 1 , then n is equal to