EllipseHard
Question
If |z - 3 - i| + |z - 1 - 3i| = 3, then locus of z in argand plane is -
Options
A.line segment joining (3 + i) and (1 + 3i)
B.an ellipse with its foci (3 + i) and (1 + 3i)
C.an ellipse with its eccentricity 
and centre 2 + 2i.
and centre 2 + 2i.D.perpendicular bisector of the line segment joining (3 + i) and (1 + 3i).
Solution
|z - (3 + i)| + |z - (1 + 3i)| = 3
PS1 + PS2 = 3 and S1 S2 = 2√2
⇒ Locus of P is ellipse with foci (1,3) and (3,1)
centre (2,2),e =
Create a free account to view solution
View Solution FreeMore Ellipse Questions
The parametric representation of a point on the ellipse whose foci are (− 1, 0) and (7, 0) and eccentricity 1 / 2 ...An ellipse has OB as semi minor axis, F and F′ its focii and the angle FBF′ is a right angle. Then the eccen...Find the equations of tangents to the ellipse 9x2 + 16y2 = 144 which pass through the point (2,3)....The ellipse = 1 and the straight line y = mx + c intersect in real points only if-...The equation of the tangent at the point (1/4, 1/4) of the ellipse = 1, is-...