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Quadratic equations in real and complex number systems and their solutions Mock Test for JEE

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Part of Complex Numbers and Quadratic Equations in JEE Main Mathematics.

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Q1MathsUnit 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 ?
Q2MathsUnit 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?
Q3MathsUnit 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
Q4MathsUnit 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
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
Determine whether the equation 5x2=5 x^{2}= 5x5 x is quadratic or not.
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. metres fetches Rs. 1350.1350 . What will be the cost of putting a fence all round the field at the rate of 50 paise per metre?
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
Solve :34x+1−2×32x+2−81=0: 3^{4 x+1}-2 \times 3^{2 x+2}-81=0
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
If a2−4a−1=0,a≠0,a^{2}-4 a-1=0, a \neq 0, then the value of a2+3a+1a2−3aa^{2}+3 a+\frac{1}{a^{2}}-\frac{3}{a} is
Q9MathsUnit 2: Complex Numbers and Quadratic Equations
A quadratic polynomial has at the most zero(es).
Q10MathsUnit 2: Complex Numbers and Quadratic Equations
Check whether 2x2−3x+5=02 x^{2}-3 x+5=0 has real roots or no.
Q11MathsUnit 2: Complex Numbers and Quadratic Equations
The polynomial 4x2+2x−24 x^{2}+2 x-2 is a
Q12MathsUnit 2: Complex Numbers and Quadratic Equations
f p,q,rp, q, r are real and p≠q,p \neq q, then roots of the equation (p−q)x2+5(p+q)x−(\boldsymbol{p}-\boldsymbol{q}) \boldsymbol{x}^{2}+\mathbf{5}(\boldsymbol{p}+\boldsymbol{q}) \boldsymbol{x}- 2(p−q)=0\mathbf{2}(\boldsymbol{p}-\boldsymbol{q})=\mathbf{0} are
Q13MathsUnit 2: Complex Numbers and Quadratic Equations
A number exceeds by 40 when added by 20%20 \% of itself. The number is
Q14MathsUnit 2: Complex Numbers and Quadratic Equations
If 3x−12x=6,3 x-\frac{1}{2 x}=6, then the value of 9x2+9 x^{2}+ 14x2\frac{1}{4 x^{2}}
Q15MathsUnit 2: Complex Numbers and Quadratic Equations
The product of two consecutive natural numbers is 12.12 . The equation form of this statement is

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