Straight LineHard
Question
The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y−intercept - 4. Then a possible value of k is
Options
A.1
B.2
C.-2
D.-4
Solution
Slope of bisector = k - 1
Middle point =
Equation of bisector is
Put x = 0 and y = - 4.
⇒ k = ± 4.
Middle point =
Equation of bisector is
Put x = 0 and y = - 4.
⇒ k = ± 4.
Create a free account to view solution
View Solution FreeMore Straight Line Questions
The lines xp + qy + r = 0, qx + ry + p = 0 and rx + py + q = 0 are concurrent, if...The equation of the bisector of the angle between the lines 3x − 4y + 7 = 0 and 12x − 5y − 8 = 0 is -...If the line passing through the points (4, 3) and (2, λ) is perpendicular to the line y = 2x + 3, then λ is eq...The equation of the line joining the point (3, 5) to the point of intersection of the lines 4x + y − 1 = 0 and 7x ...The equation to a pair of opposite sides of a parallelogram are x2 − 5x + 6 = 0 and y2 − 6y + 5 = 0. The equ...