JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1

If points

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

and

C\left( {{x_3},{y_3}} \right)

are such that

C\left( {{x_3},{y_3}} \right)

and

{y_1},{y_2},{y_3}

are in AP, then

View answer and explanation

Correct option: B

A,\;B\;

and

C

are collinear points

Option D (

\frac{3}{2}

) is correct because the area of the triangle is calculated using the determinant formula, resulting in 3/2 square units.

More Questions from STRAIGHT LINES

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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