Mathematics Introduction to Analytic Geometry Online Test

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Question 1

1. If I, m, n are the d.c.’s of a line, then

Answer

l² + m² + n² = 0

Answer

l + m + n = 1

Answer

l² + m² + n² = 1

Answer

l = m = n = 1

Question 2

2. Equation of straight line through (-2, 10) and (6, -4) is

Answer

5x + 8y + 2 = 0

Answer

8x + 5y + 2 = 0

Answer

5x + 6y + 4 = 0

Answer

5x – 8y + 2 = 0

Question 3

3. Slope of line 4x + 5y + 6 = 0 is

Answer

None of these

Question 4

4. The equation of the XOY plane is

Answer

z = c, c ≠ 0

Question 5

5. The distance of the point (1,2) from y – axis is

Question 6

6. The point of concurrency of the medians of a triangle is called its

Answer

Artho center

Answer

Circum center

Answer

In – center

Question 7

7. The slope of line with inclination 150° is

Question 8

8. Inclination of any line, parallel to y – axis is

Question 9

9. A line makes angles α, β, γ, δ with the four diagonals of a cube, then cos² α + cos² β + cos² γ + cos² δ has the value

Question 10

10. $Math 18.04$

Question 11

11. $Math 18.01$

Question 12

12. Which point is above the line 4/3 x + y = 1?

Question 13

13. The distance between two points A (x₁, y₁) and (x₂, y₂) is

Answer

(x₂ – x₁)²+(y₂ – x₁)²

Answer

√(x₁ – y₁)2 + (y₂ – y₂)2

Answer

√(x₂ – x₁)2 + (y₂ – y₁)2

Answer

√(x₂ – x₁) + (y₂ – y₁)

Question 14

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

Answer

13, < 12/13, 4/13, 3/13 >

Answer

None of these

Answer

19, < 12/19, 4/19, 3/19 >

Answer

11, < 12/11, 4/11, 3/11 >

Question 15

15. The angle b/w lines represented by 9x² + 24xy + 16y² = 0 is

Answer

None of these

Question 16

16. If d₁ is distance between the points (0,0),(1,2) and d₂ is the distance between points (1, 2), (2, 1), then

Answer

d₁ < d₂

Answer

d₁ > d₂

Answer

d₁ = d₂

Question 17

17. The point which divides segment joining points (4, -2) and (8, 6) in the ratio 7:5 internally is

Answer

(19/3, 8/3)

Answer

(8/3, 19/3)

Answer

(- 8/3, - 19/3)

Question 18

18. Midpoint of the line segment joining the points (a, b) and (b, a) is

Answer

(a+b/2, a+b/2)

Answer

(a–b/2, a–b/2)

Answer

(a + b, a + b)

Answer

(a/2, b/2)

Question 19

19. If origin is the midpoint of (a, 3) and (4, b), then

Answer

(a = -4, b = -3)

Answer

(a = 1, b = 1)

Answer

(a = 2, b = -5)

Answer

(a = 3, b = 1)

Question 20

20. $Math 18.03$

Question 21

21. The direction cosines of any normal to the xy-plane are

Question 22

22. The equation of XOY plane is

Answer

z = c, c ≠ 0

Question 23

23. The direction cosines of a line equally inclined with co-ordinate axes are

Answer

<1/√3,1/√3, 1/√3>

Question 24

24. If a rod of length/slides down against a wall group, the locus of midpoint of the rod is

Answer

An ellipse

Answer

A parabola

Answer

A straight

Question 25

25. If m₁ & m₂ are slopes of two straight lines L₁ and L₂ respectively, then L₁ II L₂ if

Answer

m₁ + m₂

Answer

None of these

Answer

m₁ = m₂

Answer

m₁m₂ = 1

Question 26

26. If a > b, and 0 (0,0)A(a cos θ, a sin θ), B(b cos θ, b sin θ) then

Answer

|0A| = 2 |0B|

Answer

|0A| > |0B|

Answer

|0A| = |0B|

Answer

2|0A| < |0B|

Question 27

27. The distance of the point (-1, 2) from y – axis is

Question 28

28. $Math 18.05$

Question 29

29. If the slope of line through Pts (2, a)(b, 7) is 4 then

Answer

4a + b = 15

Answer

4a – b = 15

Answer

a + 4b = 15

Answer

a + 7b = c + 7d

Question 30

30. Which is intercept form of the equation px + qy + r = 0

Answer

x cos a + y sin a = 1

Answer

Y = mx + r

Answer

None of these

Answer

x/p + y/q = 1

Question 31

31. The equation of line through (-3, 50 and “Ʇ ar ” to line x + 2y + 3 = 0) is

Answer

3x + 7y + 20 = 0

Answer

2x – y + 11 = 0

Answer

4y + 13x = 19

Answer

y + 2x + 7 = 0

Question 32

32. If the distance of the point (5, b) from x – axis is 3, then b =

Question 33

33. The point which divides segment joining points (a, b) and (c, d) in the ration 2:3 internally is

Answer

(3a + 2c/5, 3c + 2d/5)

Answer

3a – 2c, 3b – 2d

Answer

(3a – 2c/5, 3b – 2d/5)

Answer

(3a + 2c/5, 3b + 2d/5)

Question 34

34. $Math 18.02$

Question 35

35. The distance of the point (3, 4, 5) from y-axis is

Question 36

36. The distance between the point (0, 0), (1, 2) is

Question 37

37. If P (x, y) divides A (-6, 3) and B (5, -2) in ratio 2:3 internally then x =

Question 38

38. Midpoint of the line segment joining the points (3, -1) and (-3, 1) is

Question 39

39. A quadrilateral having two parallel line and two non-parallel line is called

Answer

Rectangular

Question 40

40. The points (5, -2)(1, 2)(-2, 5) are

Answer

Vertices of ∆

Answer

Vertices of rectangle

Question 41

41. The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm = 0 are perpendicular if

Answer

f/a + g/b + h/c = 0

Answer

√af + √bg + √ch = 0

Answer

None of these

Answer

a/f + b/g + c/h = 0

Question 42

42. Which of the following is not homogeneous?

Answer

3x² + 2y + 3xy = 0

Answer

4x² + 5y² + 3xy = 0

Answer

x² + 4y² + 2gy + 2fy = 0

Answer

x² + y² + 2gxy = 0

Question 43

43. The linc x+3/3 = y – 2/-2 = z+1/1 and the plane 4x + 5y + 3z – 5 = 0 intersect at a point

Answer

(3, -2, 1)

Answer

(-1, -2, -3)

Answer

(2, -1, 3)

Answer

(3, 1, -2)

Question 44

44. The equation of line through (2, 4) and (7, 1) is

Answer

5y + 3x = 0

Answer

9x + 2y + 17 = 0

Answer

5y + 3x – 26 = 0

Answer

2√5 y + 16x – 13 = 0

Question 45

45. If the distance between points (a, 5) and (1, 3) is √2a + 1, then a =

Question 46

46. The ratio is which x –axis divides the line joining points (2, -3) and (-5, 6) is

Question 47

47. The distance of the point (-1,-2) from x – axis is

Question 48

48. Slope of a line 1 is negative if

Answer

90° < α < 180°

Answer

None of these

Answer

0 < α < 180°

Answer

0 < α < 90°

Question 49

49. The distance b/w parallel lines 4x + 3y – 2 = 0 and 4x + 3y + 8 = 0 is

Question 50

50. The point of concurrency of the medians of a triangle is called its

Answer

Orthocenter

Answer

Circumcentre

Question 51

51. In the figure, the values of a and b are

Answer

a = 2, b = 2√2, b

Answer

a = 2, b = 1

Answer

a = √3, b = 1

Answer

a = 1, b = 1

Question 52

52. The other name of analytic geometry is

Answer

None of these

Answer

Trigonometry

Answer

Co – ordinate geometry

Question 53

53. For O(0,0), A(3cosθ, 3 sin θ), B(7 cos θ, 7 sin θ), then

Answer

|0A| = |0B|

Answer

2|0A| < |0B|

Answer

|0A| = 2 |0B|

Answer

|0A| > |0B|

Question 54

54. If d₁ is the distance between point (0,0),(1.2) and d₂ is the distance between points (1,2)(2,1), then d₁² – d₁² =

Question 55

55. The points (5,2,4)(6, -1,2) and (8, -7, k) are collinear if k is equal to

Question 56

56. The lines l₁ and l₂ intersect, the shortest distance b/w is

Answer

None of these

Question 57

57. The distance of the point 2 cos θ from origin is

Question 58

58. If (3, 5) is mid – points of (5, a) and (b, 7) then

Answer

a = -4 b = -3

Answer

a = 3, b = 1

Question 59

59. The distance of the point (a, b) from origin is

Answer

√a² + b²

Answer

√a – b

Answer

√a² – b²

Question 60

60. Centroid of triangle is a point that divides each median in the ratio

Question 61

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Total Questions:	60
Time Allowed:	25 Minutes
Total Marks:	60
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Important Math Introduction to Analytic Geometry Question and Answer

Math Introduction to Analytic Geometry Practice Test Online With Explanation

How to Score High in Mathematics Introduction to Analytic Geometry Online Test?

Key Preparation Tips:

More Related Resources

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