JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Medium

1 of 1

Analyzing +4 | -1

{t_1},{t_2}

and

{t_3}

are distinct points

\left( {{t_1},2a{t_1} + at_1^3} \right),\left( {{t_2},2a{t_2} + at_2^3} \right)

and

{t_3},2a{t_3} + at_3^3)

are collinear, if

View answer and explanation

Correct option: C

{t_1} + {t_2} + {t_3} = 0

Option C (

{t_1} + {t_2} + {t_3} = 0

) is correct because the collinearity condition of the three points leads to this relationship between

t_1, t_2,

and

t_3

More Questions from STRAIGHT LINES

Practice All Chapter MCQs →

x-3 y=p, a x+2 y=q

a x+y=r

\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

(3,8)

x+3 y=7

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