IB Maths AI HL Topic 3: Geometry and trigonometry questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1 Paper 2

Difficulty

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Question 1

Paper 1Hard6 marks

A flat map uses Cartesian coordinates to locate radio beacons. The segment $AB$ lies on the line $3x-4y-10=0$ and its midpoint is $M(2,-1)$

(a)

Determine the equation of the perpendicular bisector of $AB$ giving your answer in the form $ax+by+c=0$

[2]

(b)

Beacons $C$ and $D$ have coordinates $C(-2,4)$ and $D(4,2)$ An emergency receiver $Q$ must be equidistant from $A$ and $B$ and also equidistant from $C$ and $D$

Using your answer to (a), determine the exact coordinates of $Q$

[4]

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