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Online Tests

Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers

Question # 1

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1

0

5

2

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Question # 2

The distance between the points (2,3) and (3,2) is

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5

2

10

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Question # 3

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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Question # 4

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Question # 5

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 # 6

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0

undefined

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Question # 7

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Question # 8

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

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Question # 9

If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then

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h=2a

h=a+b

h=ab

h=ac

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Question # 10

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

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Question # 11

The inclination of a line parallel to y-axis is

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Question # 12

The distance of the point (2,-3) from y-axis is

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2

-3

1

5

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Question # 13

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1

2

-1

0

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Question # 14

For all points (x,y) in second quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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Question # 15

The distance of the point (2,3) from origin is

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5

2

3

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Question # 16

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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Question # 17

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

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120°

30°

130°

45°

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Question # 18

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

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Question # 19

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

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Question # 20

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Question # 21

The mid point of the line joining the points P(x₁, y₁) and Q(x₂, y₂) is

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Question # 22

The angle between lines xy =0 is

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45°

60°

90°

180°

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Question # 23

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0

1

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Question # 24

The mid point of the line segment joining the points (a,b) and (b,a) is

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Question # 25

For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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Question # 26

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

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Question # 27

The slope of y-axis is

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0

undefined

1

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Question # 28

The distance between the points (0 , 0) and (1, 2) is

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5

0

3

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Question # 29

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

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Question # 30

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a

2a

3a

4a

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