UPSC NDA I 2024 Mathematics Paper

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Question : 60 of 120

Marks: +1, -0

Two points P and Q lie on line y=2x+3. These two points P and Q are at a distance 2 units from another point R(1,5). What are the coordinates of the points P and Q ?

(1+‌
2
√5
,5+‌
4
√5
),(1−‌
2
√5
,5−‌
4
√5
)
(3+‌
2
√5
,5+‌
4
√5
),(−1−‌
2
√5
,5−‌
4
√5
)
(1−‌
2
√5
,5+‌
4
√5
),(1+‌
2
√5
,5−‌
4
√5
)
(3−‌
2
√5
,5+‌
4
√5
),(−1+‌
2
√5
,5−‌
4
√5
)

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