TS EAMCET · Maths · Ellipse
\(S=(-1,1)\) is the focus, \(2 x-3 y+1=0\) is the directrix corresponding to \(S\) and \(\frac{1}{2}\) is the eccentricity of an ellipse. If \((a, b)\) is the centre of the ellipse, then \(3 a+2 b=\)
- A \(\frac{30}{13}\)
- B \(\frac{4}{13}\)
- C -1
- D 0
Answer & Solution
Correct Answer
(C) -1
Step-by-step Solution
Detailed explanation
Given that focus \(=(-1,1)\) and directrix \(2 x-3 y+1=0\) and \(e=\frac{1}{2}\) \(\therefore\) Equation of ellipse \((x+1)^2+(y-1)^2=\left(\frac{1}{2}\right)^2\left(\frac{2 x-3 y+1}{\sqrt{4+9}}\right)^2\)…
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