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. The equation of the XOY plane is

Answer

z = c, c ≠ 0

Question 2

2. 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 3

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

Answer

None of these

Question 4

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

Question 5

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

Answer

None of these

Question 6

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

Question 7

7. 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 8

8. 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 9

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

Answer

5y + 3x = 0

Answer

5y + 3x – 26 = 0

Answer

9x + 2y + 17 = 0

Answer

2√5 y + 16x – 13 = 0

Question 10

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

Question 11

11. 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

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

Answer

None of these

Question 12

12. 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

(8/3, 19/3)

Answer

(19/3, 8/3)

Question 13

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

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

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

Answer

None of these

Answer

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

Answer

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

Question 15

15. 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| > |0B|

Answer

|0A| = 2 |0B|

Question 16

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

Answer

3a – 2c, 3b – 2d

Answer

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

Answer

(3a – 2c/5, 3b – 2d/5)

Answer

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

Question 17

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

Answer

a = √3, b = 1

Answer

a = 2, b = 1

Answer

a = 2, b = 2√2, b

Answer

a = 1, b = 1

Question 18

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

Answer

√a² – b²

Answer

√a – b

Answer

√a² + b²

Question 19

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

Answer

√(x₁ – y₁)2 + (y₂ – y₂)2

Answer

√(x₂ – x₁)2 + (y₂ – y₁)2

Answer

(x₂ – x₁)²+(y₂ – x₁)²

Answer

√(x₂ – x₁) + (y₂ – y₁)

Question 20

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

Answer

Rectangular

Question 21

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

Answer

Orthocenter

Answer

Circumcentre

Question 22

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

Answer

l² + m² + n² = 1

Answer

l + m + n = 1

Answer

l² + m² + n² = 0

Answer

l = m = n = 1

Question 23

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

Question 24

24. Which of the following is not homogeneous?

Answer

3x² + 2y + 3xy = 0

Answer

x² + 4y² + 2gy + 2fy = 0

Answer

4x² + 5y² + 3xy = 0

Answer

x² + y² + 2gxy = 0

Question 25

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

Answer

a = 3, b = 1

Answer

a = -4 b = -3

Question 26

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

Question 27

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

Answer

2x – y + 11 = 0

Answer

3x + 7y + 20 = 0

Answer

4y + 13x = 19

Answer

y + 2x + 7 = 0

Question 28

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

Answer

(a = 2, b = -5)

Answer

(a = 1, b = 1)

Answer

(a = -4, b = -3)

Answer

(a = 3, b = 1)

Question 29

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

Answer

In – center

Answer

Circum center

Answer

Artho center

Question 30

30.

Question 31

31. 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 32

32. 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/2, b/2)

Answer

(a + b, a + b)

Question 33

33. The other name of analytic geometry is

Answer

Co – ordinate geometry

Answer

None of these

Answer

Trigonometry

Question 34

34. 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, 1, -2)

Answer

(-1, -2, -3)

Answer

(3, -2, 1)

Answer

(2, -1, 3)

Question 35

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

Question 36

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

Question 37

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

Question 38

38. 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| = 2 |0B|

Answer

|0A| = |0B|

Answer

2|0A| < |0B|

Question 39

39. The slope of line with inclination 150° is

Question 40

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

Question 41

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

Answer

a + 7b = c + 7d

Answer

4a – b = 15

Answer

a + 4b = 15

Answer

4a + b = 15

Question 42

42. The equation of XOY plane is

Answer

z = c, c ≠ 0

Question 43

43.

Question 44

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

Question 45

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

Answer

Vertices of rectangle

Answer

Vertices of ∆

Question 46

46.

Question 47

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

Question 48

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

Answer

Y = mx + r

Answer

x/p + y/q = 1

Answer

x cos a + y sin a = 1

Answer

None of these

Question 49

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

Answer

5x + 8y + 2 = 0

Answer

5x – 8y + 2 = 0

Answer

5x + 6y + 4 = 0

Answer

8x + 5y + 2 = 0

Question 50

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

Question 51

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

Question 52

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

Answer

None of these

Question 53

53.

Question 54

54.

Question 55

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

Question 56

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

Question 57

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

Answer

m₁m₂ = 1

Answer

m₁ = m₂

Answer

None of these

Answer

m₁ + m₂

Question 58

58. Slope of a line 1 is negative if

Answer

None of these

Answer

90° < α < 180°

Answer

0 < α < 90°

Answer

0 < α < 180°

Question 59

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

Answer

<1/√3,1/√3, 1/√3>

Question 60

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