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Find the angle intersection of the circle x²+y²-4x-1=0 and x²+y²-2y-9=0

Find the angle intersection of the circle x²+y²-4x-1=0 and x²+y²-2y-9=0

Grade:12

1 Answers

manna
59 Points
7 years ago
First factorised two equation so you will get to know the H,K and radious where h,k centre of a circle.
 
h1=2,k1=0,h2=0,k2=1 radiuos of other circle is 2sqrt2

Intersection Angle Formula

The angle of the triangle is given by formula

θ = sin-1[ sqrt(2P2Q2 + 2P2D2 + 2Q2D2 - P4 - Q4 - D4)/(2PQ) ]

and the angle of intersection by the formula
 

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