JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

In a triangle

A B C

, coordinates of

A

are

(1,2)

and the equations of medians through

B

and

C

are

x+y=5

and

x=4

respectively. The coordinates of

C

and

B

are respectively

View answer and explanation

Correct option: D

(4,3),(7,-2)

Option D ((4,3),(7,-2)) is correct because it satisfies the median equations and the coordinates of vertex A.

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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