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Manipal Entrance Test 2017 Math Paper
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© examsnet.com
Question : 62
Total: 70
The foot of the perpendicular from
(
−
2
,
3
)
to the line
2
x
−
y
−
3
=
0
(
−
2
,
3
)
(
2
,
1
)
(
3
,
2
)
(
1
,
2
)
Validate
Solution:
Let AS be the line
2
x
−
y
−
3
=
0
...(i)
Its slope
=
2
Slope of
P
M
=
−
1
2
Equation of PM is
y
−
3
=
−
1
2
(
x
+
2
⇒
x
+
2
y
−
4
=
0
...(ii)
On solving Eqs. (i) and (ii), we get
x
=
2
,
y
=
1
∴ Foot of perpendicular is (2, 1).
© examsnet.com
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