JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Medium

1 of 1

Analyzing +4 | -1

Consider the family of lines

5 x+3 y-2+\lambda_1(3 x-y-4)=0

and

x-y+1+\lambda_2(2 x-y-2)=0

, then the equation of a straight line that belongs to both the families, is

View answer and explanation

Correct option: D

5 x-2 y-7=0

Option D (

5x - 2y - 7 = 0

) is correct because it is the equation of the line passing through the intersection points of the two families of lines.

More Questions from STRAIGHT LINES

Practice All Chapter MCQs →

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

(3,8)

x+3 y=7

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