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JEE Main & Advanced Sample Paper JEE Main Sample Paper-41

  • question_answer
    If \[{{F}_{1}}\] and \[{{F}_{2}}\] be the feet of the perpendiculars, from the foci \[{{S}_{1}}\] and \[{{S}_{2}}\] of an ellipse \[\frac{{{x}^{2}}}{5}+\frac{{{y}^{2}}}{3}=1\]on the tangent at any point P on the ellipse, then \[({{S}_{1}}{{F}_{1}})({{S}_{2}}{{F}_{2}})\]is equal to

    A)  2                                

    B)  3

    C)  4                                

    D)  5

    Correct Answer: B

    Solution :

    We know that the product of perpendiculars from two foci of an ellipse upon any tangent is equal to b2 ie, 3.


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