JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The equation of the line passing through the origin and the point of intersection of the lines

\frac{x}{a} + \frac{y}{b} = 1

and

\frac{x}{b} + \frac{y}{a} = 1

View answer and explanation

Correct option: D

x - y = 0

Option D (

x - y = 0

) is correct because the line passing through the origin and the intersection of the given lines is y=x.

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\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

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