AP EAMCET · Maths · Ellipse
An ellipse has 6 and 2 as length of major and minor axes respectively. If the centre is at \((5,6)\) and the major axis is along \(x-y+1=0\), then the ellipse is
- A \((x+y-11)^2+9(x-y+1)^2=18\)
- B \((x+y+11)^2+9(x+y-1)^2=18\)
- C \((x+y)^2+9(x-y)^2=18\)
- D \((x+y-11)^2+9(x+y+1)^2=18\)
Answer & Solution
Correct Answer
(A) \((x+y-11)^2+9(x-y+1)^2=18\)
Step-by-step Solution
Detailed explanation
Given, \(2 a=6\) \(\Rightarrow a=3\) and \(2 b=2 \Rightarrow b=1\) Equation of \(B C: x+y+k=0\) ...(i) It passes through \((5,6)\). \(\therefore \quad k=-11\) Equation becomes \(x+y-11=0\) Equation of ellipse…
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