DP Mathematics SL Questionbank

Description

Directly related questions

• 18M.1.sl.TZ2.6: Let $f\left( x \right) = p{x^2} + qx - 4p$, where p ≠ 0. Find Find the number of roots for the...
• 17M.1.sl.TZ1.9c: The line $y = kx - 5$ is a tangent to the curve of $f$. Find the values of $k$.
• 17M.1.sl.TZ1.9b: Find the value of $a$.
• 17M.1.sl.TZ1.9a: Find the value of $p$.
• 16M.1.sl.TZ1.7: Let $f(x) = 3{\tan ^4}x + 2k$ and $g(x) =  - {\tan ^4}x + 8k{\tan ^2}x + k$, for...
• 16N.1.sl.TZ0.7: Let $f(x) = m - \frac{1}{x}$, for $x \ne 0$. The line $y = x - m$ intersects the graph of...
• 12N.1.sl.TZ0.7: The equation ${x^2} - 3x + {k^2} = 4$ has two distinct real roots. Find the possible values of k .
• 12M.1.sl.TZ2.6: Consider the equation ${x^2} + (k - 1)x + 1 = 0$ , where k is a real number. Find the values...
• 09M.2.sl.TZ2.7a: Find the possible values of k.
• 09M.2.sl.TZ2.7b: Write down the values of k for which ${x^2} + (k - 3)x + k = 0$ has two equal real roots.
• 11N.1.sl.TZ0.7b: Each value of k is equally likely for $- 5 \le k \le 5$ . Find the probability that...
• 11N.1.sl.TZ0.7a: Find the values of k such that $f(x) = 0$ has two equal roots.
• 11M.1.sl.TZ1.7a: Find the value of k .
• 11M.1.sl.TZ1.7b: The line $y = p$ intersects the graph of f . Find all possible values of p .
• 14M.1.sl.TZ1.7b: Given that $f'(x) \geqslant 0$, show that ${p^2} \leqslant 3pq$.
• 14M.1.sl.TZ2.8a(i): Write down the value of the discriminant.
• 14M.1.sl.TZ2.8a(ii): Hence, show that $p = 3$.
• 13N.1.sl.TZ0.7: The equation ${x^2} + (k + 2)x + 2k = 0$ has two distinct real roots. Find the possible values...
• 15M.1.sl.TZ1.6b: Find the values of $p$ so that $f(x) = 0$ has two equal roots.
• 15M.1.sl.TZ1.6a: Show that the discriminant of $f(x)$ is $100 - 4{p^2}$.
• 15M.2.sl.TZ2.7: Let $f(x) = k{x^2} + kx$ and $g(x) = x - 0.8$. The graphs of $f$ and $g$ intersect at two...