Conceptual Understanding

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  1. 1.

    The locus of a point P such that PA/PB = k (k != 1), where A and B are fixed points, is:

  2. 2.

    In the locus procedure, why do we use (h,k) instead of (x,y) for the moving point?

  3. 3.

    Translation of axes shifts the origin to a new point (h,k). The new coordinates (X,Y) are related to the old (x,y) by:

  4. 4.

    Rotation of axes by angle theta is used primarily to:

  5. 5.

    The locus of a point equidistant from two fixed points A and B is:

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