ChPomB le EditVew llHistory Bookmarks People Window Help x G

ChPomB le EditVew llHistory Bookmarks People Window Help x G Which of the following equat 141 c CourseWare-Course Quiz secure https://assessment.casa. hed AssessmentOuz.aspx?id=A39F8D51-19A2-47se. uestion 11 Write the following in standard form for an ellipse. 9x2 +4y2-108x-32y+352 = 0 b)=1 r-6 -4) 4 -1 (x-6 - 4) ) None of these. Question 12 Which of the following equations belongs to a circle satisfying the given conditions: The circle is tangent to the x-axis and to the y-axis. Its center is in the 3rd quadrant. Its diameter is 20 units long. | a) . x2 +y2 + 20x + 20 y-400 =0 b) x2 +y2+40x + 40y + 100=0 29

Solution

9x²+4y²-108x-32y+352=0

9(x²-12x + 36-36)+4(y²-8y +16-16)=-352

9(x-6)²+4(y-4)²=-352+324+64

9(x-6)²+4(y-4)²=36

(x-6)²/4 +(y-4)²/9=1

Option e