JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Analyzing +4 | -1

The distance between the two points

A

and

A^{\prime}

which lie on

y=2

such that both the line segments

A B

and

A^{\prime} B

(where

B

is the point

(2,3)

) subtend angle

\frac{\pi}{4}

at the origin, is equal to

View answer and explanation

Correct option: C

\frac{52}{5}

The correct answer is B (

\frac{{52}}{{5}}

) because it represents the distance between points A and A' calculated using the tangent of the angle and the given point B.

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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