Introduction to Co-Ordinate Geometry (10th class )Chapter-7,Definition,Concept,Important points,Choose the correct answer Bits

Co-Ordinate Geometry

Hi friends and my dear students! In this post, I have covered Andhra Pradesh class 10Introduction to Co-Ordinate Geometry (10th class ) chapter-7 important points After Reading Mathematics Co-Ordinate Geometry Notes With important points, please do share it with your friends. You can Learn Maths for All Classes here.

IMPORTANT POINTS

* To locate the exact position of a point on a number line we need only a single reference.

* To describe the exact position of a point on a Cartesian plane we need two references.

* Rene Descartes a French mathematician developed the new branch of mathematics called Co-ordinate Geometry.

* The two perpendicular lines taken in any direction are referred to as co-ordinate axes.

* The horizontal line is called X- axis.

*The vertical line is called Y- axis.

* The meeting point of the axes is called the origin.

* The distance of a point from Y-axis is called the x co-ordinate or abscissa.

* The distance of a point from X-axis is called the y co-ordinate or ordinate.

* The co-ordinates of origin are (0, 0).

*The co-ordinate plane is divided into four quadrants namely Q₁, Q₂, Q₃, Q₄, i.e., first, second, third, and fourth quadrants respectively.

* The signs of co-ordinates of a point are as follows

. Q;₁: (+, +) Q₂: (- ,+) Q₃: (- , -) Q₄: (+, -)

* The x co-ordinate of a point on Y- axis is zero.

* The y co-ordinate of a point on X - axis is zero.

* Equation of X- axis is y = 0

* Equation of Y - axis is x = 0

* In a co-ordinate plane (x₁, y₁) #(x₂, y₂) unless x₁ = x₂and y₁ = y₂

Also Check

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Introduction To Trigonometry

SSC (10th class) Trigonometry Exercise - 11.1 Solution

SSC(10th class) Trigonometry Exercise - 11.1 Solutions

Choose the correct answer:

1.To locate the exact position of a point, the number of references we need is ( D )

A) 0 B) 1 C) 4 D) 2

2. The quadrant in which the point (-1,9) lies is ( C )

A) Q₄ B) Q₃ C) Q₂ D) Q₁

3. The point (0, - 9) lies ( B )

A) On x-axis B) on Y-axis c) in Q3 D) in Q4

4. The quadrant in which the point (-3, -9) lies is ( B )

A) Q₄ B) Q₃ C) Q₂ D) Q₁

5. The quadrant in which the point (4, -7) lies is ( B )

A) Q₄ B) Q₃ C) Q₂ D) Q₁

6. What is the general form of the points which lie on x-axis? ( A )

A)(x, o) B) (o, x) C) (x, y) D) (y, o)

7. In a co-ordinate system the horizontal line is called ( C )

A) Y-axis B) Origin C) X-axis D) Reference

8. The meeting point of the two axes in the co-ordinate plane is called ( D )

A) Y-axis B) X-axis c) (2, 3) D) Origin

9. A point on the X-axis is ( D )

A) (2, 5) B) (0, 5) C) (3, 3) D) (9, 0)

10. A point on the Y-axis is ( D )

A) (4,-2) C) (4, 4) B) (-8, 3) D) (0, 1)

11. In the C0-ordinate plane the axes are ( B )

... to each other.

A) parallel B) perpendicular C) neither parallel no perpendicular D) none

12. The co-ordinates of origin are ( C )

A) (1, 1) B) (- 1, 1) C) (0, 0) D) (1, 0)

13. The point (- 2, - 7) lies in ( D )

A) Q2 B) Q4 C) Q 1 D) Q3

14. The point which is not on the X-axis ( D )

A) (- 1, 0) B) (7, 0) C) (2, 0) D) (0, 8)

15. The points (0, 0), (0, 3), (4, 3) and (4, 0) are plotted in graph sheet. The figured formed by joining the points with straight lines is ( D )

A) Triangle B) square C) circle D) rectangle

16. The point which lies on both the axes is ( D )

A) (1, 1) B) (2, 2) C) (-1, - 1) D) (0, 0)

17. X-axis is denoted by ( A )

A) y = 0 B) x = 0 C) x = y D) none

18. Y-axis is denoted by ( B )

A) y = 0 B) x = 0 C)x = y D)all the above

19. If the distance of a point from X-axis is 3 units and its distance from Y-axis 9units then the point is denoted by ( D )

A) (8, 3) B) (-8, 3) C) (-3, 9) D) (3, 9)

20. A (2, 5) and B (3, 7) are points in a graph sheet. The ordinate of B is more than that of A by ( B )

A) 1 B) 2 C) 3 D) 4

21. The mathematician who found an association between algebraic equations and geometric curves and figures is ( A )

A) Rene Descartes B) Euclid C) John Venn D) Archimedes

22. The y- co-ordinate of the point A (-4, -3) exceeds its x- co-ordinate by ( c )

A) - 1 B) - 7 C) 1 D) 7

23. The number of quadrants that the co- ordinate axes divide the Cartesian plane into is ( D )

A) 1 B) 2 C) 3 D) 4

24. Which of the following points is at a distance of 6 units from Y - axis measured along positive X-axis? ( B )

A) (8, 6) B) (6, 8) C) (8, 2) D) (8, 6)

25. The x - co-ordinate of (4, 5) is called ( A )

A) Abscissa B) ordinate C) direction D) 4

26. The y - coordinate of (6, - 8) is called ( C )

A) Abscissa B) - 8 C) ordinate D) locations

27. Which of the following is on OX in Graph? ( A )

A) (1, 0) B) (0, 1) C) (0, 0) D) (0, - 1)

28. If x > 0, y > 0, then (x, y) lies in ( D )

A) Q3 B) Q1 C) Q4 D) Q,

29. If x < 0, y < 0, then (x, y) line is ( B )

A) Q₄ B) Q₃ C) Q₂ D) Q₁

30. If x > 0, y < 0, than (x, - y) lies in ( C )

A) Q3 B) Q2 C) Q1 D) Q4

31. If x >0, y < 0, then (-x, y) lies in ( C )

A) Q₁ B) Q₂ C) Q₃ D) Q₄

32. The point with abscissa 3 and whose ordinate is less than its abscissa by 4 ( D )

A) (3, 4) B) (- 1, - 2) C) (-1, 2) D) (-1, 3)

33. The point which lies in Q4 is ( B )

A) (1, 2) B) (1,-2) C) (-3, 4) D) (3, - 1)

34. Which of the following is on OY graph? ( B )

A) (4, 0) B) (0, 0) C) (-3, 0) D) (-3, - 2)

35. Which of the following point’s abscissa is more than its ordinate by 2? ( D )

A) (- 4, 2) B ) (- 1, 1) C) (2, 4) D) (1, - 1)

36. The figure formed with vertices (0, 0), (1, 0), (1, 1) and (0, 1) is called a ( B )

A) rectangle B) square C) circle D) none

37. The point (-3, 0) lies on ( B )

A) OX B) OX' C) OY D) OY¹

38. The quadrant in which the point (1, 2) lies is ( D )

A) Q₄ B) Q₃ C) Q₂ D) Q₁

39. The abscissa of the point (-7, 9) is ( A )

A)-7 B) 9 C) 7 D) -5

40. The ordinate of the point (4, - 9) is ( C )

A) 4 B) – 2 C)-9 D) 2

41. The abscissa and ordinate of a point- 3 and- 4 respectively. Hence the co-ordinates of the point are ( B )

A) (- 2, 4) B) (-3, - 4) C) (3, - 4) D) (3, - 4)

42. Which of the following points lie on the axis? ( A )

A) (8, 0) B) (- 2, – 3) C) (4, – 2) D) (-1, 4)

43. The quadrant in which the point. (5, – 6) lies is ( D )

A) Q₁ B) Q2 C) Q3 D) Q4

44. The quadrant in which the point (- 8, 9) lies is ( C )

A) Q₄ B) Q₃ C) Q₂ D) Q₁

45. The point which lies in Q₃ is ( D )

A) (- 7, 4) B) (0, 4) C) (2, 0) D) (-2, – 6)

46. The number of references needed to locate the exact position a point in a plane is ( C )

A) 1 B) 4 C) 2. C) 3

47. The quadrant in which the point (- x, - y) lies where x < 0, y < 0 is ( C )

A) Q4 B) Q, C) Q, D) Q3

48. The point which lies on both the axes is ( D )

A) (-5, -8) B) (-1, 4) C) (2, - 3) D) (0, 0)

49. The point which is not on the Y-axis is ( A )

A) (- 3, 0) B) (0, 3) C) (0,- 3) D) (0, 4)

50. The X -CO-ordinate of a point is also called ( C )

A) Ordinate B) CO-ordinate C) abscissa D) none

51. The point (0, - 3) lies on ( D )

A) OX B) OX' C) OY D) OY¹

52. The point (- 3, 2) lies in - - - - - - quadrant. ( C )

A) IV B) III C) II D) I

53. The distance of a point from Y-axis is called ( C )

A) y co-ordinate B) 2nd co-ordinate C) abscissa D) origin

54.The mathematician who developed the study of co-ordinate geometry is ( D )

A) Euler B) John Venn C) Euclid D) Rene Descartes

55. The distance of a point from X-axis is called ( D )

A) x co-ordinate C) first co-ordinate D) ordinate B) abscissa

56. In a co-ordinate system the vertical line is called ( A )

A) Y-axis B) Origin C) X-axis D) Reference

Thursday, October 15, 2020