Q. 134.2( 6 Votes )

If a point A(0, 2

Answer :

The figure will be drawn as


Since, point A is equidistant from points B and C. We can write in the form,


BA = AC …(i)


Now, length BA =


And length AC =


Substituting lengths BA and AC in equation (i), we get



Squaring both sides, we get


(3 – 0)2 + (p – 2)2 = (0 – p)2 + (2 – 5)2


9 + p2 + 4 – 4p = p2 + 9


4p = 4


p = 1


Hence, the value of p is 1.


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