GATE EE 2021 Set 1 — Question 23
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Engineering Mathematics → Calculus → Mensuration & Geometry
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Question
Suppose the circles and intersect each other orthogonally at the point . Then ______.
Correct answer
1 to 1
Solution
For two circles and to intersect orthogonally, the condition is .
Circle 1: .
Circle 2: .
Applying the condition: .
Since is the point of intersection, it lies on both circles:
1)
2)
Substitute into the second equation:
.
Circle 1: .
Circle 2: .
Applying the condition: .
Since is the point of intersection, it lies on both circles:
1)
2)
Substitute into the second equation:
.
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