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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The combined equation of the two lines ax+by+ca x+b y+c =0=0 and a′x+b′y+c′=0a^{\prime} x+b^{\prime} y+c^{\prime}=0 can be written as (ax+by(a x+b y +c)(a′x+b′y+c′)=0+c)\left(a^{\prime} x+b^{\prime} y+c^{\prime}\right)=0
The equation of the angle bisectors of the lines represented by the equation 2x2+xy−3y2=02 x^{2}+x y-3 y^{2}=0 is
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Correct option: D
x2−y2−10xy=0x^{2}-y^{2}-10 x y=0
Option D (x2−y2−10xy=0x^{2}-y^{2}-10 x y=0) is correct because it represents the equation of the angle bisectors derived from the given equation.

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