Top 50 Most Repeated COMPLEX NUMBERS PYQs | JEE MAINS
A curated collection of the most important questions from COMPLEX NUMBERS, fully solved with step-by-step concepts to prepare for JEE MAINS.
A curated collection of the most important questions from COMPLEX NUMBERS, fully solved with step-by-step concepts to prepare for JEE MAINS.
Multiply numerator and denominator by the conjugate of the denominator: \(\frac{3+4i}{1-2i}\times\frac{1+2i}{1+2i}=\frac{(3+4i)(1+2i)}{1^2+2^2}=\frac{...
Read Full Step-by-Step Solution →Multiply numerator and denominator by conjugate: $\frac{1}{3+4i} \cdot \frac{3-4i}{3-4i} = \frac{3-4i}{25}$...
Read Full Step-by-Step Solution →Using
Points lie on unit circle and centroid at origin → circumcenter is 0....
Read Full Step-by-Step Solution →The equation $|z - 2i| = 2$ represents all points $z$ whose distance from
$\frac{z}{\bar{z}} = \frac{(3+4i)^2}{(3-4i)(3+4i)} = \frac{-7+24i}{25}$ using conjugate division....
Read Full Step-by-Step Solution →For a complex number $z = a + ib$, the modulus is $|z| = \sqrt{a^2 + b^2}$. Here $a = 1$ and $b = \sqrt{3}$, so $|z| = \sqrt{1^2 + (\sqrt{3})^2} = \sq...
Read Full Step-by-Step Solution →Using
$(3+4i)(1-2i) = 3(1) + 3(-2i) + 4i(1) + 4i(-2i) = 3 -6i +4i +8 = 11 -2i$...
Read Full Step-by-Step Solution →Step 1: We need to find the value of $z^4$. Step 2: We can use the equation of $z$ to find the value of $z^4$. Step 3: The equation of $z$ is given by...
Read Full Step-by-Step Solution →Foundational check for Complex Numbers in Class 11. Study the core principles carefully for competitive exams....
Read Full Step-by-Step Solution →Multiply numerator and denominator by the conjugate of the denominator: \(\frac{3+4i}{1-2i}\times\frac{1+2i}{1+2i}=\frac{(3+4i)(1+2i)}{1^2+2^2}=\frac{...
Read Full Step-by-Step Solution →Multiply numerator and denominator by conjugate: $\frac{1}{3+4i} \cdot \frac{3-4i}{3-4i} = \frac{3-4i}{25}$...
Read Full Step-by-Step Solution →Using
Points lie on unit circle and centroid at origin → circumcenter is 0....
Read Full Step-by-Step Solution →The equation $|z - 2i| = 2$ represents all points $z$ whose distance from
$\frac{z}{\bar{z}} = \frac{(3+4i)^2}{(3-4i)(3+4i)} = \frac{-7+24i}{25}$ using conjugate division....
Read Full Step-by-Step Solution →For a complex number $z = a + ib$, the modulus is $|z| = \sqrt{a^2 + b^2}$. Here $a = 1$ and $b = \sqrt{3}$, so $|z| = \sqrt{1^2 + (\sqrt{3})^2} = \sq...
Read Full Step-by-Step Solution →Using
$(3+4i)(1-2i) = 3(1) + 3(-2i) + 4i(1) + 4i(-2i) = 3 -6i +4i +8 = 11 -2i$...
Read Full Step-by-Step Solution →Step 1: We need to find the value of $z^4$. Step 2: We can use the equation of $z$ to find the value of $z^4$. Step 3: The equation of $z$ is given by...
Read Full Step-by-Step Solution →Foundational check for Complex Numbers in Class 11. Study the core principles carefully for competitive exams....
Read Full Step-by-Step Solution →Multiply numerator and denominator by the conjugate of the denominator: \(\frac{3+4i}{1-2i}\times\frac{1+2i}{1+2i}=\frac{(3+4i)(1+2i)}{1^2+2^2}=\frac{...
Read Full Step-by-Step Solution →Multiply numerator and denominator by conjugate: $\frac{1}{3+4i} \cdot \frac{3-4i}{3-4i} = \frac{3-4i}{25}$...
Read Full Step-by-Step Solution →Using
Points lie on unit circle and centroid at origin → circumcenter is 0....
Read Full Step-by-Step Solution →The equation $|z - 2i| = 2$ represents all points $z$ whose distance from
$\frac{z}{\bar{z}} = \frac{(3+4i)^2}{(3-4i)(3+4i)} = \frac{-7+24i}{25}$ using conjugate division....
Read Full Step-by-Step Solution →For a complex number $z = a + ib$, the modulus is $|z| = \sqrt{a^2 + b^2}$. Here $a = 1$ and $b = \sqrt{3}$, so $|z| = \sqrt{1^2 + (\sqrt{3})^2} = \sq...
Read Full Step-by-Step Solution →Using
$(3+4i)(1-2i) = 3(1) + 3(-2i) + 4i(1) + 4i(-2i) = 3 -6i +4i +8 = 11 -2i$...
Read Full Step-by-Step Solution →Step 1: We need to find the value of $z^4$. Step 2: We can use the equation of $z$ to find the value of $z^4$. Step 3: The equation of $z$ is given by...
Read Full Step-by-Step Solution →Foundational check for Complex Numbers in Class 11. Study the core principles carefully for competitive exams....
Read Full Step-by-Step Solution →Multiply numerator and denominator by the conjugate of the denominator: \(\frac{3+4i}{1-2i}\times\frac{1+2i}{1+2i}=\frac{(3+4i)(1+2i)}{1^2+2^2}=\frac{...
Read Full Step-by-Step Solution →Multiply numerator and denominator by conjugate: $\frac{1}{3+4i} \cdot \frac{3-4i}{3-4i} = \frac{3-4i}{25}$...
Read Full Step-by-Step Solution →Using
Points lie on unit circle and centroid at origin → circumcenter is 0....
Read Full Step-by-Step Solution →The equation $|z - 2i| = 2$ represents all points $z$ whose distance from
$\frac{z}{\bar{z}} = \frac{(3+4i)^2}{(3-4i)(3+4i)} = \frac{-7+24i}{25}$ using conjugate division....
Read Full Step-by-Step Solution →For a complex number $z = a + ib$, the modulus is $|z| = \sqrt{a^2 + b^2}$. Here $a = 1$ and $b = \sqrt{3}$, so $|z| = \sqrt{1^2 + (\sqrt{3})^2} = \sq...
Read Full Step-by-Step Solution →Using
$(3+4i)(1-2i) = 3(1) + 3(-2i) + 4i(1) + 4i(-2i) = 3 -6i +4i +8 = 11 -2i$...
Read Full Step-by-Step Solution →Step 1: We need to find the value of $z^4$. Step 2: We can use the equation of $z$ to find the value of $z^4$. Step 3: The equation of $z$ is given by...
Read Full Step-by-Step Solution →Foundational check for Complex Numbers in Class 11. Study the core principles carefully for competitive exams....
Read Full Step-by-Step Solution →Multiply numerator and denominator by the conjugate of the denominator: \(\frac{3+4i}{1-2i}\times\frac{1+2i}{1+2i}=\frac{(3+4i)(1+2i)}{1^2+2^2}=\frac{...
Read Full Step-by-Step Solution →Multiply numerator and denominator by conjugate: $\frac{1}{3+4i} \cdot \frac{3-4i}{3-4i} = \frac{3-4i}{25}$...
Read Full Step-by-Step Solution →