Practice — what type is this question? (Analytical Geometry)
Read each question and decide what type it is before revealing the answer.
Grade 11Paper 2Level 2 — Routine Procedures
3.4 A(−2 ; −5), B, C and D are the vertices of quadrilateral ABCD such that diagonal AC is perpendicular to diagonal BD at T. ABCD is a kite with AB = BC. 3.4.2 Calculate the length of BT.
Source: DBE Mathematics Paper 2, Grade 11, November 2017, Question 3.4.2
Grade 11Paper 2Level 1 — Knowledge
3 In the diagram, A(6 ; −2), B(2 ; 15) and C(−4 ; 3) are the vertices of ΔABC. 3.1 Determine the coordinates of M, the midpoint of AB.
Source: DBE Mathematics Paper 2, Grade 11, November 2016, Question 3.1
Grade 11Paper 2Level 1 — Knowledge
4 C, a point on the x-axis, A(−5 ; −3) and B(4 ; 12) are the vertices of a triangle. 4.1 Calculate the gradient of AB.
Source: DBE Mathematics Paper 2, Grade 11, November 2017, Question 4.1
Grade 11Paper 2Level 2 — Routine Procedures
3 A(−2 ; −5), B, C and D are the vertices of quadrilateral ABCD such that diagonal AC is perpendicular to diagonal BD at T. The equation of BTD is 2y + x = 18. 3.1 Determine the gradient of line AC. 3.2 Determine the equation of AC in the form y = mx + c.
Source: DBE Mathematics Paper 2, Grade 11, November 2017, Question 3.1–3.2