Mathematics (Syllabus D) 4024: Coordinate geometry Topical Past Paper Questions

The equation of line $L$ is $y = \frac{x}{5} + 3$. (a) Write down the gradient of line $L$. [1] (b) Line M is parallel to line L. Line M crosses the x-axis at point A and the y-axis at point B. The coordinates of point A are (15,0). (i) Show that the coordinates of point $B$ are…

ABCD is a parallelogram with sides AB, BC, CD and DA. A is the point $ (-3, 7) $ and B is the point $ (2, 5) $. $$ \overrightarrow{AD}=\binom{-1}{-6} $$ (a) Find the coordinates of point $D$. (....., .....) [1] (b) Find $ \left|\overrightarrow{AD}\right| $. |\overrightarrow{AD}|…

(a) Point A and point B are shown on a centimetre square grid. (i) ABC is a triangle. Here are five possible coordinates for point C. (-2, 4) (-2, -1) (-1, -2) (6, 1) (-4, 6) Tick (✓) the two coordinates from the list that make ABC an isosceles triangle. [2] (ii) Find the column…