🛠️ JEE➗ Maths

The combined equation of the two lines \(a x+b y+c=0\) and \(a^{\prime} x+b^{\prime} y+c^{\prime}=0\) can be written as …

Q1

The combined equation of the two lines \(a x+b y+c=0\) and \(a^{\prime} x+b^{\prime} y+c^{\prime}=0\) can be written as \((a x+b y+c)\left(a^{\prime} x+\right.\) \(\left.b^{\prime} y+c^{\prime}\right)=0\) .The equation of the angle bisectors of the lines represented by the equation \(2 x^2+x y-3 y^2=0\) is

[JEE Main 2023, 1 Feb (Shift 1)]

a

\(3 x^2+5 x y+2 y^2=0\)

b

\(x^2-y^2+10 x y=0\)

c

\(3 x^2+x y-2 y^2=0\)

d

\(x^2-y^2-10 x y=0\)

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