JEE Maths›Complex Numbers & Quadratic Equations›Visual Solutions

Visual Solutions

11 step-by-step animated solutions for Complex Numbers & Quadratic Equations. Each solution breaks the problem into visual clips with key insights.

PYQ 2024Easy4 steps
If z=3+4iz = 3 + 4i, find ∣z∣|z|.
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PYQ 2024Easy4 steps
The conjugate of 2−3i2 - 3i is:
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PYQ 2024Easy4 steps
If z=1+iz = 1 + i, then z⋅zˉz \cdot \bar{z} equals:
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PYQ 2024Standard4 steps
If ∣z−2∣=∣z+2∣|z - 2| = |z + 2|, then zz lies on:
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PYQ 2024Standard4 steps
The value of (1+i)8(1 + i)^8 is:
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PYQ 2024Standard4 steps
If ω\omega is a cube root of unity, then 1+ω+ω21 + \omega + \omega^2 equals:
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PYQ 2023 · Jan Session 1Standard4 steps
If z=1+2i1−iz = \frac{1+2i}{1-i}, then Im(z)\text{Im}(z) equals:
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PYQ 2024Tricky4 steps
The locus of zz such that arg⁡(z−1z+1)=π2\arg\left(\frac{z-1}{z+1}\right) = \frac{\pi}{2} is:
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PYQ 2024Tricky4 steps
If ∣z∣=2|z| = 2, the maximum value of ∣z+3+4i∣|z + 3 + 4i| is:
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PYQ 2025 · Jan 22 Shift 1Tricky6 steps
Let z1,z2z_1, z_2 and z3z_3 be three complex numbers on the circle ∣z∣=1|z| = 1 with arg⁡(z1)=−π4\arg(z_1) = -\frac{\pi}{4}, arg⁡(z2)=0\arg(z_2) = 0 and arg⁡(z3)=π4\arg(z_3) = \frac{\pi}{4}. If ∣z1zˉ2+z2zˉ3+z3zˉ1∣2=α+β2|z_1 \bar{z}_2 + z_2 \bar{z}_3 + z_3 \bar{z}_1|^2 = \alpha + \beta\sqrt{2}, α,β∈Z\alpha, \beta \in \mathbb{Z}, then the value of α2+β2\alpha^2 + \beta^2 is:
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PYQ 2024 · Jan Shift 1Tricky4 steps
If zz satisfies ∣z−1∣+∣z+1∣=4|z - 1| + |z + 1| = 4, then the eccentricity of the locus of zz is:
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