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Math 12 Chapter 4
Introduction to Analytic Geometry
Test - 1
1.
If P (x,y) is the mid point of AB with end points A (x
1
,y
1
) and B (x
2
,y
2
) then x = ______________ y = _________________
a) (x
1
+x
2
)/2,(y
1
+y
2
)/2
b) (x
1
+x
2
)/2,(y
1
+y
2
)/2
c) (x
2
+x
2
)/2,(y
1
+y
2
)/2
2.
All points (x,y) with x # 0, y @ 0 lie in _____________________ quadrant
a) First
b) 4th
c) 2nd
3.
All points (x,y) with x # 0, y # 0 lie in _______________quadrant.
a) 3rd
b) Ist
c) 2nd
d) 4th
4.
Distance between two points A (x
1
,y
1
) and B (x
2
,y
2
) is given by |AB| = _______________
a)
Ö
(x
2
-x
1
)
2
+(y
2
-y
1
)
2
b)
Ö
(x
2
-x
1
)
2
+(y
2
-y
1
)
2
c)
Ö
(x
2
-x
1
)
2
+(y
3
-y
1
)
2
5.
X-coordinate is the directed distance from __________________.
a) X-axis
b) 0-axis
c) Y-axis
6.
All points (x,y) with x @ 0, y @ 0 lie in _________________ quadrant.
a) 2nd
b) First
c) 3rd
7.
Bisectors of angles of a triangle are __________________ and point of concurrency has co-ordinates (_______________)
a) Concurrent, (ax
1
+ bx
2
+ cx
3
/ a + b + c , ay
1
+ by
2
+ cy
3
/ a + b + c).
b) Concurrent, (ax
1
+ bx
2
+ cx
3
/ a + b + c , ay
1
+ by
2
+ cy
3
/ a + b + c).
c) Concurrent, (ax
1
+ bx
2
+ cx
3
/ a + b + c , ay
-1
+ by
2
+ cy
3
/ a + b + c).
8.
All points (x,y) with x @ 0, y #0 lie in _____________ quadrant.
a) 4th
b) Ist
c) 2nd
d) 3rd
9.
Y-coordinate is the directed distance from ______________________
a) Y-axis
b) X-axis
c) 0-axis
10.
If the directed distances AP and PB have opposite signs then P is said to divide AB _________________
a) Externally
b) Internally
c) Litrally
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