JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

A line through the point A(2,0) which makes an angle of

{30^ \circ }

with the positive direction of x-axis is rotated about A in clockwise direction through an angle of

{15^ \circ }

. Then, the equation of the straight line in the new position is

View answer and explanation

Correct option: B

\left( {2 - \sqrt 3 } \right)x - y - 4 + 2\sqrt 3 = 0

Option B (

\left( {2 - \sqrt 3 } \right)x - y - 4 + 2\sqrt 3 = 0

) is correct because it represents the equation of the line after rotation by 15 degrees clockwise.

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