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A line passing through the point P (4,2), makes the x axis and y axis at A and B respectively. If O is the origin, then locus of the centre of the circum circle of triangle OAB is

A line passing through the point P (4,2), makes the x axis and y axis at A and B respectively. If O is the origin, then locus of the centre of the circum circle of triangle OAB is

Grade:12

1 Answers

Ashutosh Mohan Sharma
askIITians Faculty 180 Points
3 years ago
509-1295_1488431718121image.png
x =42m242m2, y =24m224m2

x =21m21m, y = 1 – 2m

x – 2 =1m1m, y – 1 = – 2m

(x – 2) (y – 1) = 2

xy – x – 2y = 0

x + 2y = xy

1y1y+2x2x=1

2x––11+ y––11= 1

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