CircleMedium
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 distance between the chords of contact of tangents to the circle x2 + y2 + 2gx + 2fy + c = 0 from the origin and fro...The angle between the tangents drawn from the origin to the circle (x − 7)2 + (y + 1)2 = 25 is-...The circle x2 + y2 - 2 x - 3 k y - 2 = 0 passes through two fixed points, (k is the parameter)...Let the circle $x^{2} + y^{2} = 4$ intersect $x$-axis at the points $A(a,0),a > 0$ and $B(b,0)$. Let $P(2cos\alpha$, ...The circum-circle of the quadrilateral formed by the lines x = a, x = 2a, y = − a, y = a is...