Mathematics Introduction to Analytic Geometry Online Test

Q: How can I prepare for Mathematics Introduction to Analytic Geometry Online Test?

You can prepare for Mathematics Introduction to Analytic Geometry Online Test by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

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

Question 2

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

Answer

Circum center

Answer

Artho center

Answer

In – center

Question 3

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

Question 4

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

Question 5

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

Answer

Circumcentre

Answer

Orthocenter

Question 6

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

Answer

a + 4b = 15

Answer

4a – b = 15

Answer

4a + b = 15

Answer

a + 7b = c + 7d

Question 7

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

Question 8

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

Answer

None of these

Question 9

9.

Question 10

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

Answer

None of these

Question 11

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

Question 12

12. The equation of XOY plane is

Answer

z = c, c ≠ 0

Question 13

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

Answer

2|0A| < |0B|

Answer

|0A| > |0B|

Answer

|0A| = 2 |0B|

Answer

|0A| = |0B|

Question 14

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

Question 15

15.

Question 16

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

Answer

(a = 2, b = -5)

Answer

(a = 3, b = 1)

Answer

(a = 1, b = 1)

Answer

(a = -4, b = -3)

Question 17

17.

Question 18

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

Question 19

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

Question 20

20. 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 21

21. 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 22

22. The equation of the XOY plane is

Answer

z = c, c ≠ 0

Question 23

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

Question 24

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

Answer

a = 3, b = 1

Answer

a = -4 b = -3

Question 25

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

Answer

|0A| > |0B|

Answer

|0A| = |0B|

Answer

|0A| = 2 |0B|

Answer

2|0A| < |0B|

Question 26

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

Question 27

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

Answer

<1/√3,1/√3, 1/√3>

Question 28

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

Answer

Vertices of ∆

Answer

Vertices of rectangle

Question 29

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

Answer

l = m = n = 1

Answer

l² + m² + n² = 1

Answer

l² + m² + n² = 0

Answer

l + m + n = 1

Question 30

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

Answer

5x + 6y + 4 = 0

Answer

8x + 5y + 2 = 0

Answer

5x + 8y + 2 = 0

Answer

5x – 8y + 2 = 0

Question 31

31.

Question 32

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

Answer

√(x₁ – y₁)2 + (y₂ – y₂)2

Answer

√(x₂ – x₁) + (y₂ – y₁)

Answer

(x₂ – x₁)²+(y₂ – x₁)²

Answer

√(x₂ – x₁)2 + (y₂ – y₁)2

Question 33

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

Answer

a = 1, b = 1

Answer

a = 2, b = 2√2, b

Answer

a = 2, b = 1

Answer

a = √3, b = 1

Question 34

34. Which of the following is not homogeneous?

Answer

x² + 4y² + 2gy + 2fy = 0

Answer

x² + y² + 2gxy = 0

Answer

4x² + 5y² + 3xy = 0

Answer

3x² + 2y + 3xy = 0

Question 35

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

Answer

(3a – 2c/5, 3b – 2d/5)

Answer

3a – 2c, 3b – 2d

Answer

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

Answer

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

Question 36

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

Answer

(2, -1, 3)

Answer

(3, 1, -2)

Answer

(-1, -2, -3)

Answer

(3, -2, 1)

Question 37

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

Answer

An ellipse

Answer

A straight

Answer

A parabola

Question 38

38. Slope of a line 1 is negative if

Answer

90° < α < 180°

Answer

None of these

Answer

0 < α < 90°

Answer

0 < α < 180°

Question 39

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

Answer

None of these

Answer

x/p + y/q = 1

Answer

x cos a + y sin a = 1

Answer

Y = mx + r

Question 40

40. 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 41

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

Answer

Rectangular

Question 42

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

Question 43

43. 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

None of these

Answer

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

Answer

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

Answer

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

Question 44

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

Answer

3x + 7y + 20 = 0

Answer

4y + 13x = 19

Answer

y + 2x + 7 = 0

Answer

2x – y + 11 = 0

Question 45

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

Answer

2√5 y + 16x – 13 = 0

Answer

5y + 3x – 26 = 0

Answer

9x + 2y + 17 = 0

Answer

5y + 3x = 0

Question 46

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

Question 47

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

Answer

None of these

Question 48

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

Question 49

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

Answer

(8/3, 19/3)

Answer

(19/3, 8/3)

Answer

(- 8/3, - 19/3)

Question 50

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

Answer

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

Answer

(a + b, a + b)

Answer

(a–b/2, a–b/2)

Answer

(a/2, b/2)

Question 51

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

Answer

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

Answer

√af + √bg + √ch = 0

Answer

None of these

Answer

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

Question 52

52. The other name of analytic geometry is

Answer

Co – ordinate geometry

Answer

Trigonometry

Answer

None of these

Question 53

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

Question 54

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

Question 55

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

Question 56

56.

Question 57

57. 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 58

58. The slope of line with inclination 150° is

Question 59

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

Answer

√a² + b²

Answer

√a² – b²

Answer

√a – b

Question 60

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

Question 61

Loading...

Total Questions:	60
Time Allowed:	25 Minutes
Total Marks:	60
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	ECAT Entry Test Mathematics Online Test Interview Questions about Mathematics All Universities Entrance Test Recruitments Tests

Mathematics Introduction to Analytic Geometry Online Test

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

Maan Ali

Leave a Reply Cancel reply

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

Latest Updates

Maan Ali

Leave a Reply Cancel reply