9709/12 · Oct/Nov 2022

Perpendicular bisector of a segment and a circle centred on a point.

Sum of the first 50 terms of an arithmetic progression.

Range of a constant for no real roots, and a quadratic in cos θ.

A term of a geometric progression.

Sketch a stretched and translated graph and write its equation.

Complete the square, solve with it, and sketch the turning point.

Prove a trigonometric identity, then solve the related equation.

Integrate a derivative to find the curve, then its stationary point and where it increases.

Composite and inverse functions with an unknown constant and domain restrictions.

Perimeter and areas of sectors and triangles in a cross-section.

Minimum point, area between curves, and a rate of change.