`bb"statement-1"` Locus of z satisfying the equation `abs(z-1)+abs(z-8)=5` is an ellipse.
`bb"statement-2"` Sum of focal distances of any point on ellipse is constant for an ellipse.

locus of the point z satisfying the equation |z-1|+|z-i|=2 is

Find the value of z satisfying the euqation |z|-z=1+2i .

The solution of the equation |z|-z=1+2i is

If z is a complex number satisfying the relation ∣z+1∣=z+2(1+i) then z is

Consider the curves on the Argand plane as " "{:(C_(1):arg(z)=pi/4","),(C_(2):arg(z)=(3pi)/(4)):} and C_(3):arg(z-5-5i)=pi," where " i=sqrt(-1). bb"Statement-1" Area of the region bounded by the curves C_(1),C_(2) " and " C_(3) " is " 25/2 bb"Statement-2" The boundaries of C_(1),C_(2) " and " C_(3) constitute a right isosceles triangle.

In each of the following find the equation fot the ellipse that satisfies the given conditions : Major axis on the x-axis and passes through the points (4,3) and (6,2) .

The system of equations |z+1-i|=sqrt2 and |z| = 3 has

Find the equation of the ellipse, with major axis along the x-axis and passing through the points (4,3) and (-1,4)

bb"Statement I" The period of f(x)=2cos""1/3(x-pi)+4sin""1/3(x-pi) " is " 3pi . bb"Statement II" If T is the period of f(x), then the period of f(ax+b) is T/abs(a) .

In each of the following find the equation fot the ellipse that satisfies the given conditions : Ends of major axis (0,+-sqrt(5)) , ends of minor axis (+-1,0)