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MAT 2345 Analytic geometry - University of Rwanda
QUESTION 1a) Calculate the distance between the points P and Q if their polar coordinates are P (6, Π/4) and Q(8, Π/4) respectively.
b) Write down the canonical equations of a straight line passing through the point P(4, 5) and perpendicular to the line (d ):2x -3y + 5 = 0.
QUESTION 2
Given the hyperbola H:9x2 -16y2 -144 = 0. Write down the equations of the
a ) hyperbola in parametric form b ) hyperbola in polar form c ) asymptotes of the hyperbola.
QUESTION 3 Given the line (d): x = 2-3t; y=1 - t Z = -4/ and the plane Π: x + 2y - z-3 = 0 .Find
a) the intersection of the line and the planeb) the angle between the line and the plane
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