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Mathematics
Mathematics
Problem
A line through
A
(
−
5
,
−
4
)
A(-5,-4)
A
(
−
5
,
−
4
)
meets the lines
x
+
3
y
+
2
=
0
x + 3y + 2 = 0
x
+
3
y
+
2
=
0
,
2
x
+
y
+
4
=
0
2x + y + 4 = 0
2
x
+
y
+
4
=
0
and
x
−
y
−
5
=
0
x - y - 5 = 0
x
−
y
−
5
=
0
at the points B, C and D respectively. If
(
15
A
B
)
2
+
(
10
A
C
)
2
=
(
6
A
D
)
2
\left(\frac{15}{AB}\right)^2 + \left(\frac{10}{AC}\right)^2 = \left(\frac{6}{AD}\right)^2
(
A
B
15
)
2
+
(
A
C
10
)
2
=
(
A
D
6
)
2
, find the equation of the line.
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