The locus of mid points of parts in between axes and tangents of ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ will be

  • A

    $\frac{{{a^2}}}{{{x^2}}} + \frac{{{b^2}}}{{{y^2}}} = 1$

  • B

    $\frac{{{a^2}}}{{{x^2}}} + \frac{{{b^2}}}{{{y^2}}} = 2$

  • C

    $\frac{{{a^2}}}{{{x^2}}} + \frac{{{b^2}}}{{{y^2}}} = 3$

  • D

    $\frac{{{a^2}}}{{{x^2}}} + \frac{{{b^2}}}{{{y^2}}} = 4$

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