Orthogonal Circles Definition
Two circles are defined as orthogonal if they intersect each other. The angle between them is specifically measured at their intersection points.
Angle Calculation
The angle between two intersecting circles is technically the angle formed by their tangents at the point of intersection.
A crucial geometric condition for orthogonality is that the radii drawn from the centers to an intersection point are perpendicular to each other. This geometric property directly defines the angle.
Conclusion
When the radii to the intersection point are perpendicular (forming a 90-degree angle), the tangents at that point are also perpendicular. Therefore, the angle between the two circles is a right angle.
Correct Answer: Option D - right angle
Similar Questions
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Important Questions from Circles
If 3x + y - 5 = 0 is the equation of a chord of the circle x2 + y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?
What is the area of minor segment ?
What is the area of major segment ?
A straight line x = y + 2 touches the circle 4(x 2+ y 2) = r 2. The value of r is
If the centre of the circle passing through the origin is (3, 4), then the intercepts cut off by the circle on x-axis and y-axis respectively are
