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Mathematics
Mathematics
Problem
If the locus of the point, whose distances from the point
(
2
,
1
)
(2, 1)
(
2
,
1
)
and
(
1
,
3
)
(1, 3)
(
1
,
3
)
are in the ratio
5
:
4
5 : 4
5
:
4
, is
a
x
2
+
b
y
2
+
c
x
y
+
d
x
+
e
y
+
170
=
0
ax^2 + by^2 + cxy + dx + ey + 170 = 0
a
x
2
+
b
y
2
+
c
x
y
+
d
x
+
ey
+
170
=
0
, then the value of
a
2
+
2
b
+
3
c
+
4
d
+
e
a^2 + 2b + 3c + 4d + e
a
2
+
2
b
+
3
c
+
4
d
+
e
is equal to : (a) 5 (b)
−
27
-27
−
27
(c) 37 (d) 437
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