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.
* 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 = x2 and y1
= y2
Introduction to integers (7th class)
Introduction to Real number
Trigonometry Do This & Try this solution
SSC (10th class) Trigonometry Exercise - 11.1 Solution
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
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)
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
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