PointMedium
Question
Given the family of lines, a(3x + 4y + 6) + b(x + y + 2) = 0. The line of the family situated at the greatest distance from the point P (2, 3) has equation -
Options
A.4x + 3y + 8 = 0
B.5x + 3y + 10 = 0
C.5x + 3y + 10 = 0
D.none
Solution
L1 : 3x + 4y + 6 = 0
L : x + y + 2 = 0
Line situated at greatest distance from P(2, 3) is the line passing through point of intersection (Q) of the given lines and perpendicular to PQ.
Create a free account to view solution
View Solution FreeMore Point Questions
To remove xy term from the seconddegree equation 5x2 + 8xy + 5y2 + 3x +2y + 5 = 0, the coordinates axes arerotated throu...If the points (4, -4), (-4, 4) and (x, y) form an equilateral triangle, then -...Let the mid points of the sides of a triangle ABC be $\left( \frac{5}{2},7 \right),\left( \frac{5}{2},3 \right)$ and (4,...A(x1, y1), B(x2, y2) and C (x3, y3) are three non-collinear points in cartesian plane. Number of parallelograms that can...Without changing the direction of coordinates axes, to which point origin should be transferred so that the equation x2 ...