JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Hard

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Application +4 | -1

The algebraic sum of the perpendicular distances from

A\left(x_1, y_1\right), B\left(x_2, y_2\right)

and

C\left(x_3, y_3\right)

to a variable line is zero, then the line passes through

View answer and explanation

Correct option: B

the centroid of

\triangle A B C

Option B is correct. If the algebraic sum of the perpendicular distances from

A(x_1, y_1)

B(x_2, y_2)

, and

C(x_3, y_3)

to a variable line is zero, then the line passes through the centroid of

\triangle ABC

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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