Mathematics · JEE

Complex Numbers and Quadratic Equations Short Tricks for JEE

34+ syllabus-aligned questions available

Quick answer

Short tricks for Complex Numbers and Quadratic Equations work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Complex Numbers and Quadratic Equations shortcuts to save time in JEE Mathematics papers — then validate speed with 34+ MCQs on Goodmarks.

Short tricks for speed

  • Complex Numbers and Quadratic Equations focus drill

    Solve 15 mixed MCQs for Complex Numbers and Quadratic Equations, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

65+ important formulas for Complex Numbers and Quadratic Equations

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Free sample questions

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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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Frequently asked questions

Are short tricks enough for Complex Numbers and Quadratic Equations in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.