coordinate

Question: The coordinates of the point A and B are $(ak,0)$ and $\left( \frac{a}{k},0 \right),\,\,(k=\pm 1)$. If a point P moves so that $PA=kPB,$ then the equation to the locus of P is

1) ${{k}^{2}}({{x}^{2}}+{{y}^{2}})-{{a}^{2}}=0$

2) ${{x}^{2}}+{{y}^{2}}-{{k}^{2}}{{a}^{2}}=0$

3) ${{x}^{2}}+{{y}^{2}}+{{a}^{2}}=0$

4) ${{x}^{2}}+{{y}^{2}}-{{a}^{2}}=0$

Solution:

Explanation: No Explanation

Transformation of axes and Locus

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