Chapter 4: Introduction to Analytic Geometry MCQs
MCQ's with answers from chapter 4 Introduction to analytic geometry Mathematics book 2 for FSC pre engineering for Board of Intermediate and Secondary education. Also For Entry Test Preparation for UET, NUST, PIEAS, GIKI, AIR, FAST, WAH University, other engineering Universities.
2. Elements
of Plane Analytical Geometry
1) The set {x ½ a < x < b} can also
written as
A)
[a, b]
B)
(a, b)
C)
[a, b)
D)
(a, b]
Answer: B
2) The set {x ½ a £ x £ b} is called
A)
Interval
B)
Open Interval
C)
Half Open interval
D)
Closed interval
Answer: D
8) The
points (- 2, 0) , (- 1, 0), (1, 0) and
(2, 0) lie on
A)
y – axis
B)
x- axis
C)
y = - x
D)
y = 5x
Answer: B
10) The
points (2, 2) , (3, 3) and (5, 5) lie on a line defined by the equation
A)
x + y = 0
B)
y = 2x
C)
y = 3x
D)
x – y = 0
Answer: D
11) The points (1, - 1) , (2, - 2), (4, -4)
are
A)
collinear
B)
non collinear
C)
on three lines
D)
vertices of a triangle
Answer: A
12) The
points (0, 0), (1, 0) and (0, 2) are the vertices of
A)
Right triangle
B)
Isosceles Triangle
C)
Equilateral triangle
D)
Oblique triangle
Answer: A
13) If
the points A (x1, y1), B (x2, y2) and C(x3, y3) are collinear, then area of
triangle ABC is
A)
0
B)
1
C)
2
D)
3
Answer: A
14) If
two medians of a triangle intersect at a point (2, 2) then 3rd
median will pass through the point
A)
(0, 1)
B)
(3, 3)
C)
(1, 1)
D)
(2, 2)
Answer: D
15) If
two internal angle bisectors of a triangle pass through the origin then the 3rd
angle bisector will pass through the point
A)
(3, 0)
B)
(0, 3)
C)
(0, 0)
D)
(3, 3)
Answer: C
16) In
inclination of a straight line is 45o then its slope is equal to
A)
0
B)
1
C)
– 1
D)
¥
Answer: B
17) If
slope of a line is 2 then slope of the line perpendicular to this line is equal
to
A)
– 2
B)
– ½
C)
2
D)
0
Answer: B
18) If
a line is parallel to y-axis then slope of the line perpendicular to this line
is
A)
¥
B)
0
C)
1
D)
– 1
Answer: B
21) If
one of the angles between two intersecting lines is 122o then the
acute angle between these lines is of measure
A)
98o
B)
68o
C)
58o
D)
22o
Answer: C
22) The
equation of the line passing through the points
(-1, 1), (- 1, - 1) and (-
1, 0) is
A)
y = - x + 1
B)
y = - 1
C)
x = -1
D)
x + y = - 1
Answer: C
24) The
equation of the line passing through the points (1, 0) and (0, 1) is
A)
x – y = 1
B)
x + y = 1
C)
x + y = - 1
D)
x – y = - 1
Answer: B
25) The
point of insertion of the lines 3x + 4y = 0 and
5x – 6y = 0
A)
(3, 4)
B)
(5, - 6)
C)
(3, 5)
D)
(0, 0)
Answer: D
26) The
three lines define by the equation x + 2y = 0,
2x + y = 0 and 3x + 5y = 0
are
A)
Parallel
B)
Perpendicular
C)
Concurrent
D)
Not parallel
Answer: C
27) The
length and breadth of a plane is
A)
finite
B)
infinite
C)
x, y
D)
x + y
Answer: B
28) The
distance of the point (7, 0) from the line y – 2 = 0 is
A)
7
B)
2
C)
5
D)
0
Answer: B
29) The
distance of the point (2, 3) from the line
x + y = 5 is
A)
2
B)
0
C)
3
D)
5
Answer: B
30) The
distance between the two lines, defined by
y
– 2 = 0 and y + 2 = 0
A)
0
B)
2
C)
4
D)
¼
Answer: C
Can you explain mcq no. 18 and 22?
ReplyDeleteFor Q.18,there's a formula for perpendicular lines(m1.m2=-1)
DeleteJust put the value of first slope you'll get the 2nd slope automatically.
And for Q.18 just put the values of the three given points in the equations, the one which satifies all of the given points is the answer
DeleteQ#18
ReplyDeleteThe vertical distance of the line which is parallel to the yaxis is zero so that's why the slope of this line is zero . therefore the slope of the perpendicular to this line will also zero.