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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 2
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0
2
4/3
5/3
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Question # 3
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 4
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 5
(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio
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1:2
3:2
2:3
2:1
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Question # 6
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 7
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 8
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 9
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 10
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 11
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 12
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 13
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 14
The point of concurrency of the angle bisectors of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 15
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 16
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 17
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 18
The coordinates of a point P(x,y) referred to XY-system are
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(x+y,y+k)
(x-h,y-k)
(x,y)
(x-h,y-k)
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Question # 19
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 20
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 21
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3
1
4
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Question # 22
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 23
The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to
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-2
2
3
-1
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Question # 24
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9
-9
0
1
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Question # 25
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1
2
3
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Question # 26
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 27
The distance of the point (2,-3) from y-axis is
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2
-3
1
5
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Question # 28
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0
1
undefined
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Question # 29
The mid point of the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 30
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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