TUVW is a square. Construct the locus of a moving point which is always equidistant from TU and TW.

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Solution

distance of $P t -^{'} P^{'}$ form $T W = y$
distance of $P t -^{'} P^{'}$ form $T U = x$
and $x = y$
$∴$ locus is $y = x$

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Similar questions

A straight line AB is 8 cm long. Locate by construction the locus of a point which is:

(i) Equidistant from A and B.

(ii) Always 4 cm from the line AB.

(iii) Mark two points X and Y, which are 4 cm from AB and equidistant from A and B, Name the figure AXBY.

The locus of a point which moves so that it is always equidistant from the point A(a, 0) and B (- a, 0) is

(1, 0)

(0, - 2)

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