Locus Problems - IIT JEE Main and Advanced Mathematics Video Lecture [RAO IIT ACADEMY]
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Description : Lec 7/7: The lecture discusses the different locus equations in complex numbers and an illustration on the same.
Comment@-It is to be noted that the equation of straight line given excludes the point z1.
Comment@-Add the following: "A Circle is defined as locus of points equidistant from a fixed point in a plane containing that fixed point."
Comment@-If the ratio is a negative number then the locus will be other part of circle. If it is zero then it is the point z3. Therefore for any real value of the ratio, the locus will be the complete circle except the point z1.
Comment@-Additionally k must be positive for the locus to be hyperbola.
Comment@-It is assumed that z1 lies on right side of y-axis.
Correction@-- Skip the part between - and read it as "...we can easily see that z is a real number".
Correction@-The co-ordinates of the points on x-axis are mistakenly written wrong. Please read them as (3/2,0) and (-3/2,0).
Comment@-Although difficult, it is still possible to interpret and thus solve the A part of the question geometrically. See if you can.
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