Mathematics · JEE

Easy Complex Numbers and Quadratic Equations MCQs for JEE

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Q1MathsUnit 2: Complex Numbers and Quadratic Equations
If x+1x=4,x+\frac{1}{x}=4, then x4+1x4x^{4}+\frac{1}{x^{4}} is equal to
Q2MathsUnit 2: Complex Numbers and Quadratic Equations
What are the solution(s) to the system of equations y=x29\boldsymbol{y}=\boldsymbol{x}^{2}-\mathbf{9} and y3=\boldsymbol{y}-\boldsymbol{3}= x?x ?
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
If we plot Z1=2\left|Z_{1}\right|=2 and Z268i=4\left|Z_{2}-6-8 i\right|=4 on the argand plane, the locus of Z1Z_{1} and Z2Z_{2} are
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
For a complex number z, the minimum value of z+z2|z|+|z-2| is
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
A family is going to a theme park having tt members in the family. Each ticket costs $80,\$ 80, and the number of tickets needs to be bought can be calculated from the expression t2t^{2}- 4t90=64 t-90=6 when t>0.t>0 . What is the total cost of the theme park tickets that the family paid?
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
If (1i)x+(1+i)y=13i,(1-i) x+(1+i) y=1-3 i, then (x,y)=(x, y)=
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
Determine the nature of roots of the equation x2+2x3+3=0x^{2}+2 x \sqrt{3}+3=0
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
Let ziz \neq-i be any complex number such that ziz+i\frac{z-i}{z+i} is a purely imaginary number. Then z+1zz+\frac{1}{z} is :

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