AP EAMCET · Maths · Ellipse
The equations of the latusrectum of the ellipse \(9 x^2+25 y^2-36 x+50 y-164=0\) are
- A \(x-4=0, x+2=0\)
- B \(x-6=0, x+2=0\)
- C \(x+6=0, x-2=0\)
- D \(x+4=0, x+5=0\)
Answer & Solution
Correct Answer
(B) \(x-6=0, x+2=0\)
Step-by-step Solution
Detailed explanation
We have, \(\begin{aligned} & \Rightarrow 9 x^2+25 y^2-36 x+50 y-164=0 \\ & \Rightarrow 9 x^2-36 x+36++25 y^2+50 y-25=164+36+25 \\ & \Rightarrow 9\left(x^2-4 x+4\right)-25\left(y^2+2 y-1\right)=225 \\ & \Rightarrow 9(x-2)^2-25(y+1)^2=225 \end{aligned}\)…
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