• Syllabus

Coordinate geometry

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Sub sections and their related questions

Elementary geometry of the plane, including the concepts of dimension for point, line, plane and space.The equation of a line in the form ymxc= +.

• 10M.1.sl.TZ1.4a: Write down the value of $\tan \theta$ .
• 10M.1.sl.TZ1.4b(i) and (ii): Find the value of (i)     $\sin 2\theta$ ; (ii)    $\cos 2\theta$ .
• 10M.1.sl.TZ2.5: Let $f(x) = k{x^4}$ . The point ${\text{P}}(1{\text{, }}k)$ lies on the curve of f . At P,...
• 14M.1.sl.TZ2.4b: Find the equation of the line $L$ in the form $y = ax + b$.

Parallel and perpendicular lines, including12mm= and 121mm= −.

• 15M.2.sl.TZ1.6: Let $f(x) = \frac{{\ln (4x)}}{x}$ for $0 < x \le 5$. Points...

Geometry of simple plane figures.

None

The Cartesian plane: ordered pairs (, )xy, origin, axes.

None

Mid-point of a line segment and distance between two points in the Cartesian plane and in three dimensions

• 14N.1.sl.TZ0.10c: The line ${L_a}$ crosses the $x$-axis at ${\text{Q}}(2a,{\text{ }}0)$. Let...