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Mathematics
Mathematics
Problem
Given the family of lines,
a
(
3
x
+
4
y
+
6
)
+
b
(
x
+
y
+
2
)
=
0
a(3x + 4y + 6) + b(x + y + 2) = 0
a
(
3
x
+
4
y
+
6
)
+
b
(
x
+
y
+
2
)
=
0
. The line of the family situated at the greatest distance from the point
P
(
2
,
3
)
P(2, 3)
P
(
2
,
3
)
has equation - (A)
4
x
+
3
y
+
8
=
0
4x + 3y + 8 = 0
4
x
+
3
y
+
8
=
0
(B)
5
x
−
3
y
−
10
=
0
5x - 3y - 10 = 0
5
x
−
3
y
−
10
=
0
(C)
15
x
+
8
y
+
30
=
0
15x + 8y + 30 = 0
15
x
+
8
y
+
30
=
0
(D) None of these
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