Coordinate Geometry MCQ

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