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The equation of the chord of the ellipse...

The equation of the chord of the ellipse `2x^(2)+3y^(2)=6` having `(1,-1)` as its mid point is

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If the equation of chord ofthe ellipse " (x^(2))/(25)+(y^(2))/(16)=1 " joining "],[" the two points " P((pi)/(3)) " and Q((pi)/(6)) " on it is " (x)/(lambda_(1)) + (y)/(lambda_(2)) = (sqrt(3)+1)/(2) ],[" then " 20 lambda_(1) + 25 lambda_(2) ="