DP Mathematics HL Questionbank

• Syllabus

4.4

Sub sections and their related questions

Coincident, parallel, intersecting and skew lines; distinguishing between these cases.

• 12N.1.hl.TZ0.9a: Find the coordinates of the common point of the paths of the two boats.
• 12N.1.hl.TZ0.9b: Show that the boats do not collide.
• SPNone.2.hl.TZ0.10b: (i)     Find the vector equation of the line ${L_1}$ containing the points A and B. (ii)    ...
• 14M.1.hl.TZ2.12b: The line ${L_2}$ has Cartesian equation...
• 15M.2.hl.TZ2.13a: Show that the lines ${L_1}$ and ${L_2}$ are skew.
• 18M.2.hl.TZ1.11c.i: Find an expression for the distance between the two submarines in terms of t.
• 18M.2.hl.TZ1.11c.ii: Find the value of t when the two submarines are closest together.
• 18M.2.hl.TZ1.11c.iii: Find the distance between the two submarines at this time.

Points of intersection.

• 12N.1.hl.TZ0.9a: Find the coordinates of the common point of the paths of the two boats.
• 12N.1.hl.TZ0.9b: Show that the boats do not collide.
• 12N.2.hl.TZ0.13c: The line ${L_2}$ has Cartesian equation $5 - x = y + 3 = 2 - 2z$ . The lines ${L_1}$ and...
• 08M.1.hl.TZ2.11: Consider the points A(1, −1, 4), B (2, − 2, 5) and O(0, 0, 0). (a)     Calculate the cosine of...
• 13M.2.hl.TZ1.11b: Show that ${L_1}$ and ${L_2}$ intersect at the point R(1, 2, 4).
• 15N.1.hl.TZ0.13b: (i)     Find a vector equation of the line that passes through $B$ and $R$ in terms of...
• 15N.1.hl.TZ0.13c: Show that the line segment [$CP$] also includes the point $G$.
• 15N.2.hl.TZ0.10b: Roderick is at a point ${\text{C}}(11,{\text{ }}9)$. During Ed’s walk from $P$ to $Q$...
• 18M.2.hl.TZ1.11c.i: Find an expression for the distance between the two submarines in terms of t.
• 18M.2.hl.TZ1.11c.ii: Find the value of t when the two submarines are closest together.
• 18M.2.hl.TZ1.11c.iii: Find the distance between the two submarines at this time.