CircleHard
Question
The locus of the centres of the circles such that the point (2, 3) is the mid point of the chord 5x + 2y = 16 is -
Options
A.2x - 5y + 11 = 0
B.2x + 5y - 11 = 0
C.2x + 5y + 11 = 0
D.none
Solution
Centre of circles lie on the perpendicular bisector
⇒
locus of P(h, k) is 2x - 5y + 11 = 0
⇒
locus of P(h, k) is 2x - 5y + 11 = 0
Create a free account to view solution
View Solution FreeMore Circle Questions
The x coordinates of two points A and B are roots of equation x2 + 2x − a2 = 0 and y coordinate are roots of equat...If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q then t...The asymptote of the hyperbola = 1 form with any tangent to the hyperbola a triangle whose area is a2 tan λ in magn...Equation of line passing through mid point of intercepts made by circle x2 + y2 _ 4x _ 6y = 0 on co-ordinate axes is...The equation of circles passing through (3, _6) touching both the axes is...