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CBSE Class 11-science Answered

Find the point on Y axis equidistant from two points A(-3, 4) and B(3, 6) on the same plane
Asked by Preranapandu410 | 16 Aug, 2020, 02:37: PM
answered-by-expert Expert Answer
Let P be the point on y-axis which is equidistant from A(-3, 4) and B(3, 6).
As the point is on the y-axis, its coordinate will be P(0, a)
PA=PB
square root of open parentheses 0 plus 3 close parentheses squared plus open parentheses straight a minus 4 close parentheses squared end root equals square root of open parentheses 0 minus 3 close parentheses squared plus open parentheses straight a minus 6 close parentheses squared end root
rightwards double arrow 9 plus straight a squared minus 8 straight a plus 16 equals 9 plus straight a squared minus 12 straight a plus 36
rightwards double arrow 12 straight a minus 8 straight a equals 36 minus 16
rightwards double arrow 4 straight a equals 20
rightwards double arrow straight a equals 5
Answered by Renu Varma | 17 Aug, 2020, 12:39: PM

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