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Mathematics
Mathematics
Problem
Let the equation
x
(
x
+
2
)
(
12
−
k
)
=
2
x(x + 2)(12 - k) = 2
x
(
x
+
2
)
(
12
−
k
)
=
2
have equal roots. Then the distance of the point
(
k
,
k
2
)
\left(k, \frac{k}{2}\right)
(
k
,
2
k
)
from the line
3
x
+
4
y
+
5
=
0
3x + 4y + 5 = 0
3
x
+
4
y
+
5
=
0
is (1) 15 (2)
5
3
5\sqrt{3}
5
3
(3)
15
5
15\sqrt{5}
15
5
(4) 12
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