AP EAMCET · Maths · Straight Lines
The locus of a point such that the sum of its distances from the points \((0,2)\) and \((0,-2)\) is 6 , is
- A \(9 x^2-5 y^2=45\)
- B \(5 x^2+9 y^2=45\)
- C \(9 x^2+5 y^2=45\)
- D \(5 x^2-9 y^2=45\)
Answer & Solution
Correct Answer
(C) \(9 x^2+5 y^2=45\)
Step-by-step Solution
Detailed explanation
Let \(P\left(x_1, y_1\right)\) be any point, then \(\begin{aligned} \sqrt{\left(x_1-0\right)^2+} & \left(y_1-2\right)^2 \\ & +\sqrt{\left(x_1-0\right)^2+\left(y_1+2\right)^2}=6 \end{aligned}\)…
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