DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.7b: Find the value of the real part of $\frac{{z + w}}{{z - w}}$...
• 18M.1.hl.TZ2.7a: Find the real part of $\frac{{z + w}}{{z - w}}$.
• 16N.1.hl.TZ0.12d: Solve the inequality...
• 16N.1.hl.TZ0.12c: Find the values of $x$ that satisfy the equation $\left| p \right| = \left| q \right|$.
• 16N.1.hl.TZ0.12b: Show that $(\omega  - 3{\omega ^2})({\omega ^2} - 3\omega ) = 13$.
• 12M.1.hl.TZ1.7: Given that z is the complex number $x + {\text{i}}y$ and that...
• 12M.1.hl.TZ1.3: If ${z_1} = a + a\sqrt 3 i$ and ${z_2} = 1 - i$, where a is a real constant, express...
• 12M.1.hl.TZ2.6a: m and n are real numbers;
• 12M.1.hl.TZ2.6b: m and n are conjugate complex numbers.
• 12M.1.hl.TZ2.12A.a: Given that \({(x + {\text{i}}y)^2} = - 5 + 12{\text{i}},{\text{ }}x,{\text{ }}y \in...
• 12M.1.hl.TZ2.12A.c: For any complex number z , show that ${(z^*)^2} = ({z^2})^*$ .
• 12N.1.hl.TZ0.10a: (i)     Write down ${z_1}$ in Cartesian form. (ii)     Hence determine...
• 08N.1.hl.TZ0.13Part B: (a)     Expand and simplify $(x - 1)({x^4} + {x^3} + {x^2} + x + 1)$ . (b)     Given that b is...
• 11M.1.hl.TZ2.12b: Let $\gamma = \frac{{1 + {\text{i}}\sqrt 3 }}{2}$. (i)     Show that $\gamma$ is one of the...
• 10M.1.hl.TZ2.13: Consider...
• 11M.1.hl.TZ1.2: Given that $\frac{z}{{z + 2}} = 2 - {\text{i}}$ , $z \in \mathbb{C}$ , find z in the form...
• 11M.1.hl.TZ1.13a: Write down the expansion of ${\left( {\cos \theta + {\text{i}}\sin \theta } \right)^3}$ in the...
• 15N.1.hl.TZ0.11b: Consider the complex numbers ${z_1} = 1 + {\text{i}}$ and...