DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ1.11b: Show that the area of the quadrilateral Q is \(\frac{{21\sqrt 3 }}{2}\).
• 16M.2.hl.TZ2.1: ABCD is a quadrilateral where...
• 16M.1.hl.TZ1.5c: Find BC in the form \(a + \sqrt b \) where \(a,{\text{ }}b \in \mathbb{Z}\).
• 16M.1.hl.TZ1.5a: Expand and simplify \({\left( {1 - \sqrt 3 } \right)^2}\).
• 16N.2.hl.TZ0.7b: Find the difference between the areas of the two possible triangles ABC.
• 16N.2.hl.TZ0.7a: Use the cosine rule to find the two possible values for AC.
• 17N.2.hl.TZ0.5: Barry is at the top of a cliff, standing 80 m above sea level, and observes two yachts in the...
• 12N.1.hl.TZ0.7a: For the case k = 4 , find the two possible values of QR.
• 12N.1.hl.TZ0.7b: Determine the values of k for which the conditions above define a unique triangle.
• 08M.2.hl.TZ1.12Part A: In triangle ABC, BC = a , AC = b , AB = c and [BD] is perpendicular to [AC].   (a)     Show...
• 11M.2.hl.TZ2.8: The vertices of an equilateral triangle, with perimeter P and area A , lie on a circle with...
• 09M.1.hl.TZ2.9: A triangle has sides of length \(({n^2} + n + 1)\), \((2n + 1)\) and \(({n^2} - 1)\) where...
• SPNone.1.hl.TZ0.6a: Determine BC, giving your answer in the form \(k\sqrt 3 \), \(k \in {\mathbb{Z}^ + }\) .
• SPNone.1.hl.TZ0.7a: Show that this system does not have a unique solution for any value of \(\lambda \) .
• SPNone.1.hl.TZ0.6b: The point D lies on (BC), and (AD) is perpendicular to (BC). Determine AD.
• SPNone.1.hl.TZ0.8: The vectors a , b , c satisfy the equation a + b + c = 0 . Show that a \( \times \) b = b...
• 13M.2.hl.TZ1.7a: Find, in terms of x, an expression for the cost of laying the cable.
• 10M.2.hl.TZ1.3: In the right circular cone below, O is the centre of the base which has radius 6 cm. The points B...
• 10M.2.hl.TZ2.5: Consider the triangle ABC where \({\rm{B\hat AC}} = 70^\circ \), AB = 8 cm and AC = 7 cm. The...
• 10N.2.hl.TZ0.1: Triangle ABC has AB = 5 cm, BC = 6 cm and area 10 \({\text{c}}{{\text{m}}^2}\). (a)     Find...
• 11M.2.hl.TZ1.3: Given \(\Delta \)ABC, with lengths shown in the diagram below, find the length of the line...
• 14M.1.hl.TZ1.7: The triangle ABC is equilateral of side 3 cm. The point D lies on [BC] such that BD = 1 cm. Find...
• 15N.2.hl.TZ0.7: Triangle \(ABC\) has area \({\text{21 c}}{{\text{m}}^{\text{2}}}\). The sides \(AB\) and \(AC\)...
• 15M.2.hl.TZ1.4: A triangle \(ABC\) has \(\hat A = 50^\circ \), \({\text{AB}} = 7{\text{ cm}}\) and...
• 15M.2.hl.TZ2.1b: Find \(AC\).