Locus of the foot of the perpendicular drawn from the centre upon any tangent to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$, is

  • A

    ${({x^2} + {y^2})^2} = {b^2}{x^2} + {a^2}{y^2}$

  • B

    ${({x^2} + {y^2})^2} = {b^2}{x^2} - {a^2}{y^2}$

  • C

    ${({x^2} + {y^2})^2} = {a^2}{x^2} - {b^2}{y^2}$

  • D

    ${({x^2} + {y^2})^2} = {a^2}{x^2} + {b^2}{y^2}$

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  • [JEE MAIN 2020]

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