TS EAMCET · Maths · Ellipse
The eccentricity of the ellipse \(9 x^2+5 y^2-18 x-20 y-16=0\), is :
- A \(\frac{1}{2}\)
- B \(\frac{2}{3}\)
- C \(\frac{3}{2}\)
- D 2
Answer & Solution
Correct Answer
(B) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
Equation of ellipse is \(9 x^2+5 y^2-18 x-20 y-16=0\) \(\Rightarrow \quad 9\left(x^2-2 x\right)+5\left(y^2-4 y\right)=16\) \(\Rightarrow 9\left(x^2-2 x+1\right)+5\left(y^2-4 y+4\right)=16+9+20\) \(\Rightarrow \quad 9(x-1)^2+5(y-2)^2=45\)…
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