GATE CE 2025 Set 1 — Question 9
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
A circle with center at and radius intersects with another circle with center at and radius at two points. One of the points of intersection is:
Correct answer
(B) (0.2, 0.4)
Solution
The equations of the two circles are:
Substitute into equation (1):
This gives or .
1.
2.
Subtracting equation (1) from equation (2):Substitute into equation (1):
This gives or .
- If , . The point is .
- If , . The point is .
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