Mathematics · JEE

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

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Q1MathsUnit 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 ?
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 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?
Q3MathsUnit 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?
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
A number exceeds by 40 when added by 20%20 \% of itself. The number is
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
If 3x12x=6,3 x-\frac{1}{2 x}=6, then the value of 9x2+9 x^{2}+ 14x2\frac{1}{4 x^{2}}
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
ff x+2y+3z=0x+2 y+3 z=0 and x3+4y3+x^{3}+4 y^{3}+ 9z3=18xyz;\mathbf{9} z^{3}=18 x y z ; evaluate: (x+2y)2xy+(2y+3z)2yz+\frac{(x+2 y)^{2}}{x y}+\frac{(2 y+3 z)^{2}}{y z}+ (3z+x)2zx\frac{(3 z+x)^{2}}{z x}

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