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Complex Numbers and Quadratic Equations Mock Test 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=x2−9\boldsymbol{y}=\boldsymbol{x}^{2}-\mathbf{9} and y−3=\boldsymbol{y}-\boldsymbol{3}= x?x ?
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
If we plot ∣Z1∣=2\left|Z_{1}\right|=2 and ∣Z2−6−8i∣=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∣+∣z−2∣|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 t2−t^{2}- 4t−90=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 (1−i)x+(1+i)y=1−3i,(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 z≠−iz \neq-i be any complex number such that z−iz+i\frac{z-i}{z+i} is a purely imaginary number. Then z+1zz+\frac{1}{z} is :
Q9MathsUnit 2: Complex Numbers and Quadratic Equations
−35+12i−−35−12i=p\sqrt{-35+12 i}-\sqrt{-35-12 i}=p The value of pp can be? This question has multiple correct options
Q10MathsUnit 2: Complex Numbers and Quadratic Equations
In the Argand's plane, the locus of z(≠z(\neq 1) such that arg⁡{32(2z2−5z+33z2−z−2)}=2π3is\arg \left\{\frac{3}{2}\left(\frac{2 z^{2}-5 z+3}{3 z^{2}-z-2}\right)\right\}=\frac{2 \pi}{3} i s
Q11MathsUnit 2: Complex Numbers and Quadratic Equations
Determine all ordered pairs that satisfy (x−y)2+x2=25,(x-y)^{2}+x^{2}=25, where xx and yy are integers and x≥0.x \geq 0 . Find the number of different values of yy that occur
Q12MathsUnit 2: Complex Numbers and Quadratic Equations
If ∣z2−1∣=∣z∣2+1,\left|\mathbf{z}^{2}-\mathbf{1}\right|=|\mathbf{z}|^{2}+\mathbf{1}, then z\mathbf{z} lies on
Q13MathsUnit 2: Complex Numbers and Quadratic Equations
If the product of two numbers is 10 and their sum is 7,7, which is the greatest of the two numbers?
Q14MathsUnit 2: Complex Numbers and Quadratic Equations
The zeros of the polynomial n3+9n2+n^{3}+9 n^{2}+ 23n+1523 n+15 are a−d,aa-d, a and a+d.a+d . What is the value of 'a'?
Q15MathsUnit 2: Complex Numbers and Quadratic Equations
Discriminant of the equation −3x2+-3 x^{2}+ 2x−8=02 x-8=0 is

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