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.