A is a point on either of two lines y +√3| x |=2 at a distance of (4/√3) units from their point of intersection. The co-ordinates of the foot of perpendicular from A on the bisector of the angle between them are

Question

A is a point on either of two lines y +√3| x |=2 at a distance of (4/√3) units from their point of intersection. The co-ordinates of the foot of perpendicular from A on the bisector of the angle between them are (A) ((-2/√3), 2) (B) (0,0) (C) ((2/√3), 2) (D) (0,4)

Tardigrade Admin · Accepted Answer

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y+√3 x=2 for x > 0 y=-√3 x=2 for x < 0

Q. A is a point on either of two lines $y + 3 ∣ x ∣ = 2$ at a distance of $\frac{4}{3}$ units from their point of intersection. The co-ordinates of the foot of perpendicular from $A$ on the bisector of the angle between them are

$(\frac{- 2}{3}, 2)$

$(0, 0)$

$(\frac{2}{3}, 2)$

$(0, 4)$

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$y + 3 x = 2$ for $x > 0$
$y = - 3 x = 2$ for $x < 0$

Q. A is a point on either of two lines y+3​∣x∣=2 at a distance of 3​4​ units from their point of intersection. The co-ordinates of the foot of perpendicular from A on the bisector of the angle between them are

(3​−2​,2)

(0,0)

(3​2​,2)

(0,4)