JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The set of lines

a x+b y+c=0

, where

3 a+2 b+4 c=0

is concurrent at the point

View answer and explanation

Correct option: A

(3 / 4,1 / 2)

Option A is correct. The set of lines

ax+by+c=0

, where

3a+2b+4c=0

, is concurrent at the point

(3/4, 1/2)

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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