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39. Find the value of k, if the point P(0, 2) is equidistant from the points (3, k) and (k, 5).
10. If the point Q(0, 1) is equidistant from the points P/5. - 3) and Rir
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Answer:
Let the three points be P(0,2), A(3, K) and B(k,5).
and, AP=BP
⇒AP
2
=BP
2
⇒(3−0)
2
+(k−2)
2
=(k−0)
2
+(5−2)
2
⇒9+k+4−4k=k
2
+9
⇒4k=4
⇒k=1
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