The centre of an ellipse is $C$ and $PN$ is any ordinate and $A$, $A’$ are the end points of major axis, then the value of $\frac{{P{N^2}}}{{AN\;.\;A'N}}$ is

  • A

    $\frac{{{b^2}}}{{{a^2}}}$

  • B

    $\frac{{{a^2}}}{{{b^2}}}$

  • C

    ${a^2} + {b^2}$

  • D

    $1$

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In an ellipse, the distance between its foci is $6$ and minor axis is $8.$ Then its eccentricity is :

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($A$) The area of the quadrilateral $A_1 A _2  A _3 A _4$ is $35$ square units

($B$) The area of the quadrilateral $A_1 A_2 A_3 A_4$ is $36$ square units

($C$) The tangents $T_1$ and $T_2$ meet the $x$-axis at the point $(-3,0)$

($D$) The tangents $T_1$ and $T_2$ meet the $x$-axis at the point $(-6,0)$

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