The point on y axis equidistant from (-3,4) and (7,6) is...plz anybody do it.
And its answer is (15,0)
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Answer:
Let the required point be (x,0)
Since, (x,0) is equidistant from the points (−3,4) and (2,5)
∴
(−3−x)
2
+(4−0)
2
=
(2−x)
2
+(5−0)
2
[ Using distance formula ]
⇒sqrt9+x
2
+6x+16=
4+x
2
−4x+25
⇒x
2
+6x+25=x
2
−4x+29
⇒10x=4
⇒x=
10
4
=
5
2
∴ Required point is (
5
2
,0)
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