JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1

The shortest distance between the two lines

L_1: x=k_1

;

y=k_2

and

L_2: x=k_3 ; y=k_4

is equal to

View answer and explanation

Correct option: D

\sqrt{\left(k_1-k_3\right)^2+\left(k_2-k_4\right)^2}

Option D (

\sqrt{(k_1-k_3)^2 + (k_2-k_4)^2}

) is correct because it represents the Euclidean distance between two points in the xy-plane.

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