Coordinate Geometry
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Coordinate Geometry = Algebra + Geometry ๐Ÿ‘‘

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circle : xยฒ + yยฒ = rยฒ

Point on circle

r = 1

P(โˆš2, 0), Q(0, โˆš2)

Required area = Area of triangle - Area of circle part

= 1/2 * โˆš2 * โˆš2 - ฯ€/4

= 1 - ฯ€/4
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Equation of Common tangent = 2(g1 - g2)x + 2(f1 - f2)y + C1 - C2 = 0

Eq. = -2x + 2y + 1 = 0

Distance from centre (-2, 0) = 3/2โˆš2

Now half of length of comman chord AB = โˆš3 - 9/8 = โˆš15/8

Length = 2*โˆš15/8 = โˆš15/2
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