AP EAMCET · Maths · Ellipse
The equations of the latusrectum of the ellipse \(9 x^2+4 y^2-18 x-8 y-23=0\) are
- A \(x=-1 \pm \sqrt{5}\)
- B \(y=1 \pm \sqrt{5}\)
- C \(x=1 \pm \frac{2 \sqrt{5}}{3}\)
- D \(y=2 \pm \sqrt{5}\)
Answer & Solution
Correct Answer
(B) \(y=1 \pm \sqrt{5}\)
Step-by-step Solution
Detailed explanation
Equation of given ellipse \[ \begin{aligned} & 9 x^2+4 y^2-18 x-8 y-23=0 \\ & \Rightarrow \quad 9(x-1)^2+4(y-1)^2=36 \\ & \Rightarrow \quad \frac{(x-1)^2}{4}+\frac{(y-1)^2}{9}=1 \\ & \end{aligned} \] Equation of latus rectum is…
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