The equation of the pair of straight lines pe | vedclass

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(B) The given equation of the pair of straight lines is $2 x^2+3 x y+2 y^2+10 x+5 y=0$.This is in the general form $a x^2+2 h x y+b y^2+2 g x+2 f y+c=

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$2 x^2-3 x y+2 y^2=0$

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(B) The given equation of the pair of straight lines is $2 x^2+3 x y+2 y^2+10 x+5 y=0$.This is in the general form $a x^2+2 h x y+b y^2+2 g x+2 f y+c=0$.Comparing the coefficients,we get $a=2$,$2h=3$ (so $h=\frac{3}{2}$),and $b=2$.The equation of the pair of lines passing through the origin and perpendicular to the given pair of lines is given by $b x^2-2 h x y+a y^2=0$.Substituting the values,we get $2 x^2-3 x y+2 y^2=0$.

The equation of the pair of straight lines perpendicular to the pair $2 x^2+3 x y+2 y^2+10 x+5 y=0$ and passing through the origin is $..........$

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