JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +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

Equation of a straight line that belong to both 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 represents the line passing through the intersection points of both families of lines.

More Questions from STRAIGHT LINES

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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

(3,8)

x+3 y=7

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