Quadrilateral KLMN with K(4; 10), L(1; 1), M(4; 0) and N(8; 2). Determine the gradients of LM and MN, the length of KM, the angle of inclination θ, and the midpoint of LN. Then show that KL is perpendicular to LM, and prove that KLMN is a cyclic quadrilateral.
Analytical geometry — Grade 12 Maths Past Paper Questions
2 past paper questions on analytical geometry from NSC, 2020. Read what each one asks, then open it with its memo.
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2 questions on analytical geometry. Each opens in the question browser with its memo.
gradientdistance formulainclinationmidpointperpendicular linescyclic quadrilateral
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A circle with diameter AB, where A(3; 2) and B(−5; 4), and centre M. Determine the coordinates of M, write the equation of the circle in centre-radius form, prove that TA is a tangent at A, find the equations of TA and BT, and calculate the coordinates of T.
equation of a circlecentre and radiustangent to a circleperpendicular gradientsequation of a linepoint of intersection
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Trigonometry past paper questionsDescriptions last updated 10 August 2026.