1.
Find
the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2)
A.
3
B.
4.5
C.
4
D.
3.5
2.
Find
the coordinates of the point which will divide the line joining the points (3,
5) and (11, 8) externally in the ratio 5: 2.
A.
(5/3
, 1/3)
B.
(3/49
, 1/10)
C.
(49/3
, 10)
D.
None
of these
3.
Find
the coordinate of the point which will divide the line joining the point (2,4)
and (7,9) internally in the ratio 1:2?
A.
(5/3
, 1/3)
B.
(3/8
, 3/11)
C.
(8/3
, 11/3)
D.
(11/3
, 17/3)
4.
Find
the equation of the line whose slope is 3 and y intercept is – 4.
A.
y
= 2x – 3
B.
Y=3x+4
C.
Y=3x-
4
D.
4.y=√3x-2
5.
Find
the coordinates of the circum-centre of the triangle whose vertices are (0, 0),
(8,0) and (0,6). Find the Circum-radius also.
A.
(4,
3),6
B.
(3,4),5
C.
(4,
3),5
D.
(4,
3),3
6.
In
what ratio does x-axis divide the line segment joining the points (3, -4) and
(2 ,6)?
a)
2 ∶ 3
b)
3 ∶ 2
c)
1 ∶ 2
d)
More
than one of the above
7.
The
value of k for which the points A (6, 9), B (0, 1) and C (-6, k) are collinear,
is:
a)
7
b)
-7
c)
-3
d)
More
than one of the above
8.
The
locus of the point which is equidistant from the points A(0, 2, 3) and B(2, -2,
1) is:
a)
x
− 2y − z + 1 = 0
b)
x
− 2y − z − 1 = 0
c)
x
− 2y + z + 1 = 0
d)
More
than one of the above
e)
None
of the above
9.
The
distance between two points (-6, y) and (18, 6) is 26 units. Find the value of
y.
a)
4
b)
-4
c)
6
d)
-6
10. Find the point at which the line
segment joined by the points (- 1, 0) and (2, 6) is divided internally in the
ratio 2 : 1.
a)
(0,
5)
b)
(1,
4)
c)
(1,
3)
d)
(0,
4)
11. The area of the quadrilateral
vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3), is:
a)
22
sq. units
b)
23
sq. units
c)
26
sq. units
d)
28
sq. units
12. What is the area of the triangle whose
vertices are A(-4, -2), B(-3, -5) and C(3, -2)?
a)
12
sq. units
b)
10
sq. units
c)
7.5
sq. units
d)
10.5
sq. units
