JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The line parallel to the

X

-axis and passing through the intersection of the lines

a x+2 b y+3 b=0

and

b x-2 a y-3 a=0,

where

(a, b) \neq(0,0)

View answer and explanation

Correct option: A

Below the

X

-axis at a distance of

\frac{3}{2}

from it

Option A Below the

X

-axis at a distance of

\frac{3}{2}

from it is correct because the line parallel to the X-axis is found to be y = -3/2.

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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

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

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