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Angle of Intersection of Two Circle is considered one of the most asked concept.
30 Questions around this concept.
The center of the circle lie on the line
and
cuts orthogonally the circle
. The circle
passes through two fixed points. Find the mid-point of their coordinates.
If the circles and
intersect orthogonally, the k is
Two circles and
are orthogonal, then m is equal to
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If two circles and
intersect in two distinct points, then
The angle between the tangents drawn from the origin to the circle is
If a circle passes thorough the point and cuts the circle
orthogonally, then the equation of the locus of its centre is
The angle between the tangents drawn from the origin to the circle is
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Equation of a circle that cuts the circle , lines x = -g and y = -f orthogonally, is;
Tangents to the circle cut the circle
at
and
. The tangents at
and
to the circle
intersect at:
Angle of Intersection of Two Circle
Angle of Intersection of Two Circle is defined as the angle between the tangents drawn to both circles at their point of intersection.
For finding cos Ө, we are using COSINE FORMULA
NOTE:
If the angle of intersection two circles is 90°, then the circles are said to be orthogonal circles.
The condition for orthogonality is
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