Write down the canonical equations of a straight line

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Reference no: EM132773134

MAT 2345 Analytic geometry - University of Rwanda

QUESTION 1
a) 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 plane
b) the angle between the line and the plane

Reference no: EM132773134

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