37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of intersection is perpendicular, at that point, to the radius drawn from the other circle. Prove that if two orthogonal circles have two points of intersection, the radii are perpendicular at both points of intersection.

Q: Prove that for any two points A and B, line segment AB = line segment BA

A: To prove that for any two points A and B, line segment AB = line segment BA.

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A: We can find the radius as below.

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A:

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A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

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A:

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A: Given:

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A: Draw the sketch of two possible cases of the given problem:

Q: 1. Use the distance formula to find the distance between two points with coordinates (6, 4) and (1,…

A:

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A:

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Q: Consider the line segments (1,2) and (3,4). Prove that the lines are (i) non- collinear (ii)…

A:

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: 8. Given the points A = (1, 2, 4), B = (-1, 1, 3), and C = (-3, -2, 5). Find the equation of the…

A: