Question # 1

The angle between lines xy =0 is

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45°

60°

90°

180°

The two lines y = 2x and x =2y are

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Parallel

Perpendicular

Equally inclined with axes

Congruent

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

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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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

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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0

1

-1

undefined

The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

The slope of y-axis is

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0

undefined

1

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

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

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

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5

0

3

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0

1

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

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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

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0

2

4

A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if

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h2 = ab

a + b =0

a = b

a≠ b

a = b = 0

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1

2

3

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

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9

-9

0

1

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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

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2

-3

3

5

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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0

2

4/3

5/3

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

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

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-2

-3

2

3

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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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

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

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