AP EAMCET · Maths · Ellipse
Find the equation of the ellipse which passes through the points \((-3,1)\) and \((2,-2)\), whose center lies at \((0,0)\) and major axis lies along the \(X\)-axis.
- A \(3 x^2+5 y^2=32\)
- B \(5 x^2+3 y^2=32\)
- C \(5 x^2-3 y^2=32\)
- D \(3 x^2+5 y^2=132\)
Answer & Solution
Correct Answer
(A) \(3 x^2+5 y^2=32\)
Step-by-step Solution
Detailed explanation
\(\therefore\) Centre and major axis of an ellipse are \((0,0)\) and \(X\)-axis respectively. Let \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) be the equation of ellipse. According to question it will pass through \((-3,1)\) and \((2,-2)\)…
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