What is the slope of the line that passes through (−2, −4) and (3, 7) ?
2 answers:
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Answer:
b)
<em>i) Focus ( 0,a) = </em><em></em>
<em>ii) The equation of the directrix is </em>
<em> </em>
Step-by-step explanation:
<u>Step(i)</u>:-
<em> </em><em> A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not in a line) in the plane </em>
<em>• The Fixed line is called the directrix of the parabola. </em>
<em>• The Fixed point is called the focus of the parabola. </em>
<em>• A line through the focus and perpendicular to the directrix is called the axis of the parabola. </em>
<em>• The point of intersection of parabola with the axis is called the vertex of the parabola. </em>
<em>Given Parabola x² = 2 y</em>
<em>Comparing x² = 4 a y</em>
<em> 4 a = 2</em>
<em> </em><em></em>
<em> Focus ( 0,a) = </em><em></em>
<u><em>Step(ii)</em></u>
<em>The equation of the directrix is y = -a or y +a=0</em>
<em>The equation of the directrix is </em>
<em> </em><em></em>
<em>The equation of the directrix is 2 y +1 =0</em>
<em> </em>