JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the point

P\left(a, a^2\right)

lies inside the triangle formed by the lines

x=0, y=0

and

x+y=2

, then exhaustive range of '

a

' is

View answer and explanation

Correct option: A

(0,1)

Option A

(0,1)

is correct because it represents the range of 'a' for which the point P lies inside the triangle.

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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

(3,8)

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