Please-solve-Q-16069-Ask-from-me-the-solution-if-needed-and-please-explain-it-

Question Number 17158 by Tinkutara last updated on 01/Jul/17

Please solve Q . 16069 . Ask from me the

solution if needed and please explain it .

Commented by mrW1 last updated on 01/Jul/17

one can prove

case 1 : AB not / / to CD and AD not / / to BC :

the locus of P, whose sum of distances to

the sides is constant, is a single fixed point .

case 2 : AB not / / to CD but AD / / to BC

or AB / / to CD but AD not / / to BC :

the locus of P, whose sum of distances to

the sides is constant, is a straight segment .

case 3 : AB / / to CD and AD / / to BC

the locus of P, whose sum of distances to

the sides is constant, is any point in

interior of ABCD .

case 3 means ABCD is parallelogram .

Commented by mrW1 last updated on 02/Jul/17

they can be proved .

Commented by Tinkutara last updated on 02/Jul/17

Will you prove them ? Or tell me the

source from where I can see their

proofs .

Commented by mrW1 last updated on 02/Jul/17

we had the proof in the solution for

Q 16066, 16067 etc ., indirectly . But

I can summarise them later .

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