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If the normal to the ellipse 3x^2 + 4y^2 = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes

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If the normal to the ellipse 3x2 + 4y2 = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4,4) then PQ is equal to :

(1)  √61/2

(2)  √221/2

(3)  √157/2

(4)  5√5/2 

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Correct option  (4)  5√5/2 

Explanation:

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