JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Medium

1 of 1

Analyzing +4 | -1

If the points

(-2,0),\left(-1, \frac{1}{\sqrt{3}}\right)

and

(\cos \theta, \sin \theta)

are collinear, then the number of values of

\theta \in[0,2 \pi]

View answer and explanation

Correct option: B

Option B (1) is correct because solving the collinearity condition using the determinant results in a single valid value for

\theta

within the given interval.

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