The point(s) on the y−axis which is (are) at a distance of 13 units from the point (−5,7), is (are)
A
(0,19)
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B
(0,16)
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C
(0,−5)
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D
(0,12)
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Solution
The correct option is C(0,−5) Let A=(−5,7) and P=(0,y) be the required point on the y-axis. Then, PA=13⇒PA2=169⇒(0+5)2+(y−7)2=169⇒(y−7)2=144⇒y−7=±12⇒y=−5,19