# For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.  Foci: (−3, 3) and (7, 3); Length of minor axis: 8 units

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For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.

Foci: (−3, 3) and (7, 3); Length of minor axis: 8 units

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Step 1

Given, help_outlineImage Transcriptionclosefoci :(-3, 3) and (7 , 3) Length of minor axis = 2b =8 → b = 4 fullscreen
Step 2

Now centre of the ellipse is the mid point of the foci, that is help_outlineImage Transcriptionclose::mid point of the line segment -3+7 3+3 (2,) joining the points (a, b) and (c , d) center = (h, k) = a+c _b+d° is 2 2 =(2,3) fullscreen
Step 3

Now the distance between the cent... help_outlineImage Transcriptionclose[: the distance between the points c= {(2-7)? +(3–3)² [(a,b) and (c , d)is (c - a)² + (d – b)² = 5 fullscreen

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