2
QUEST
TUTORIALS
Head Office
: E16/289, Sector8, Rohini, New Delhi, Ph. 65395439
10.
The equation of the lines which
passes through the point (3,

2) & are
inclined at 60º to the line
3
x
+
y = 1
(A)
y
+
2 = 0,
3
x

y

2

3
3 = 0
(B)
x

3
x

y
+
2
+
3
(C)
3
x

y

2

3
(D)
None of these
11.
The points on the line,
x
+
y = 4 which
lie at a unit distance from the line,
4x + 3y = 10, are :
(3, 1)
, (

7, 11)
, (7, 11)
( 3, 1)
, (
(1, 3)
12.
The equation of the bisector of the
acute angle between the lines,
3x

4y
+
7 = 0 and 12x
+
5y

2 = 0 is
21x
+
77y

101 = 0
11x

3y
+
9 = 0
31x
+
+


13. If the lines
y = 3x
+
1 & 2y = x
+
3 are
equally inclined to the line, y
= mx
+
4
then
m =
(A)
1
3 2
7
+
1
3 2
7

1
3 2
7
±
1
5 2
7
±
14.
If the slope of a line passing through
the point
A
(3, 2) be
3
4
, then the points
on the line which are 5 units away
from A, are :
(A) (5, 5) (

1,

1)
(B) (7, 5)
(

1,

1)
(C) (5, 7) (


1)
(7, 5) (1, 1)
15.
The lines
ax + by + c = 0, where
3a + 2b + 4c = 0 are concurrent at the
point :
1
2
3
4
,
3
4
1
2
,
16.
The equations of two equal sides of
an isosceles triangle are 7x

y
+
and
x
+
y

3 = 0 and the third side
passes through the point (1, 
10) . The
equation of the third side is :
(A) x


31
= 0 but not 3x
+
y
+
7
= 0
(B) 3x
+
y
+
7
=
0 but not x


=
0
(C) 3x
+
y
+
7 = 0
or
x


31 = 0
Neither
3x + y + 7
nor
x

3y

17.
The value of
k for which the lines,
7x

8y
+
5 = 0, 3x

+
5 = 0 and
4x
+
+
k = 0 are concurrent is given
by :
 45
44
54
 54
18.
The coordinates of the foot of the
perpendicular from the point (2, 3) on
the line
y = 3x + 4 are given by :
37
10
1
10
,

