JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the lines

kx - 2y - 1 = 0

and

6x - 4y - m = 2

are identical (coincident ) lines, then the values of

k

and

m

are

View answer and explanation

Correct option: A

k = 3,\;m = 2

Option A (

k = 3,\;m = 2

) is correct because for identical lines, the ratios of the coefficients must be equal.

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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

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

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x+3 y=7

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