JEE MATHEMATICS MCQ: STRAIGHT LINES

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Analyzing +4 | -1

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

represents a pair of straight lines equidistant from the origin, then

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Correct option: B

f^4-g^4=c\left(b f^2-a g^2\right)

Option B (

f^4-g^4=c(b f^2-a g^2)

) is correct because it represents the condition for the given equation to represent a pair of straight lines equidistant from the origin.

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x-3 y=p, a x+2 y=q

a x+y=r

\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\}

y = 2\;x + 4

6x = 3y + 5

{x^2} + {y^2} + 2xy - 8ax - 8ay - 9{a^2} = 0

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\left( {{x^2} + 7xy + 2{y^2}} \right)\left( {y - 1} \right) = 0