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Mathematics
Mathematics
Problem
Point
P
P
P
lies on the line through
A
(
1
,
2
)
A(1,\,2)
A
(
1
,
2
)
having slope
3
3
3
and is
5
5
5
units away from
A
A
A
. If
x
P
>
1
x_P>1
x
P
>
1
, the coordinates of
P
P
P
are a)
(
1
−
10
2
,
2
−
3
10
2
)
\left(1-\dfrac{\sqrt{10}}{2},\,2-\dfrac{3\sqrt{10}}{2}\right)
(
1
−
2
10
,
2
−
2
3
10
)
b)
(
1
+
3
10
2
,
2
+
10
2
)
\left(1+\dfrac{3\sqrt{10}}{2},\,2+\dfrac{\sqrt{10}}{2}\right)
(
1
+
2
3
10
,
2
+
2
10
)
c)
(
1
+
10
2
,
2
+
3
10
2
)
\left(1+\dfrac{\sqrt{10}}{2},\,2+\dfrac{3\sqrt{10}}{2}\right)
(
1
+
2
10
,
2
+
2
3
10
)
d)
(
1
+
5
4
,
2
+
15
4
)
\left(1+\dfrac{5}{4},\,2+\dfrac{15}{4}\right)
(
1
+
4
5
,
2
+
4
15
)
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