9709/12 · Feb/March 2025

Condition for a line and a curve not to meet.

Gradient at a point, then the minimum point of a curve.

Full binomial expansion, then use it to find one coefficient of a product.

Perimeter and area of a region made from a sector and a triangle.

Sum the terms of an arithmetic progression that lie in a given range.

Circle centre in terms of the radius, the radius from a distance, and the gradient of a tangent.

Prove a trigonometric identity, then solve an equation in an interval.

Common ratio of a geometric progression and a sum to infinity after removing terms.

Classify a stationary point with the second derivative, then find the curve by integration.

Areas bounded by a curve and the axes, and by a curve, a tangent and an axis.

Composite functions, transformations of a curve and constants from a range.