PointHard

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 Free
Topic: Point·Practice all Point questions

More Point Questions

Three points are A(6,3), B(−3, 5), C(4, − 2) and P(x, y) is a point, then the ratio of area of ᐃPBC an...If the points (1, 1) (-1, -1) and (- √3 , k) are vertices of an equilateral triangle then the value of k will be -...P,Q and R three points on the line joining A(−6, 8) and B(8, −6) such that AP = PQ = QR = RB, then coordinat...If the equation ax2 - 6xy + y2 + bx + cx + d = 0 represents a pair of lines whose slopes are m and m2, then value(s) of ...The distance of the point (3, 4) from origin is -...