Question Set A

CBSE 9th Standard Mathematics Coordinate Geometry Model Questions Papers Study Material - QB365

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Questions:

Multiple Choice Question

20 x 1 = 20

The distance of a point (0,-3) from the origin is:

(a)

0 units

(b)

Cannot be determined

(c)

-3 units

(d)

3 units

The distance of the point (0,1) from O is:

(a)

(b)

(c)

-1

(d)

None of these

Write the coordinates of P

(a)

(1,-3)

(b)

(1,3)

(c)

(-1,-3)

(d)

(-1,3)

Write the coordinates of P

(a)

(-2,-2)

(b)

(2,2)

(c)

(2,-2)

(d)

(-2,2)

Write the coordinates of P

(a)

(2,2)

(b)

(-1,-2)

(c)

(1,-2)

(d)

(-1,2)

Mirror image of point (3,9) in x - axis is

(a)

(-3,9)

(b)

(9,3)

(c)

(3,9)

(d)

(3,-9)

If (x+2,4)=(5,y-2), then the coordinates (x,y) are:

(a)

(7,12)

(b)

(6,3)

(c)

(3,6)

(d)

(2,1)

The co-ordinates of a point whose ordinate is 6 and which lies on y-axis are:

(a)

(0,6)

(b)

(0,-6)

(c)

(6,0)

(d)

(-6,0)

If a point is on negative side of y-axis at a distance of 3 units from origin then, the co-ordinates of the point are :

(a)

(0,3)

(b)

(0,-3)

(c)

(3,0)

(d)

(-3,0)

10.

The co-ordinates of point Q are:

(a)

(3,3.5)

(b)

(3.5,3)

(c)

(-3,3.5)

(d)

(-3,-3.5)

11.

Abscissa of all the points on y - axis is:

(a)

(b)

any number

(c)

(d)

-1

12.

The co-ordinates of any point on the x - axis are of the form:

(a)

(x,0)

(b)

(o,y)

(c)

(0,0)

(d)

(x,y)

13.

In which quadrant does the point (-1,2) lie?

(a)

(b)

(c)

III

(d)

14.

The points (-5,2) and (2,-5) lie in the:

(a)

Same quadrant

(b)

II and III quadrants respectively

(c)

II and IV quadrants respectively

(d)

IV and III quadrants respectively

15.

In fourth quadrant, x is

(a)

+ve

(b)

-ve

(c)

(d)

None of these

16.

Where do the I and III quadrants meet?

(a)

in x - axis

(b)

in y - axis

(c)

at O

(d)

do not intersect

17.

The line of intersection of I and II quadrants is

(a)

x - axis

(b)

y - axis

(c)

vertical axis

(d)

None of these

18.

If x is positive and y is negative, then the point (x,y) lies in

(a)

III quadrant

(b)

IV quadrant

(c)

II quadrant

(d)

I quadrant

19.

North-South direction and East-West direction

(a)

are perpendicular to each other

(b)

are parallel to each other

(c)

are opposite to each other

(d)

None of these

20.

Rene Descartes belonged to

(a)

15^th Century

(b)

16^th Century

(c)

17^th Century

(d)

18^th Century

1 Marks

14 x 1 = 14

21.

In which quadrants x and y coordinates have different sign?

22.

The abscissa of a point is 5 and it lies on the x-axis. What are its coordinates?

23.

In the following figure, which point has its abscissa as -3?

24.

If the y-coordinate of a point is zero, then where does this point lie?

25.

Which of the following statements are true?
(i) The point (0, -4) lies on y-axis
(ii) The perpendicular distance of the point (5, 7) from the x-axis is 5.
(iii) Point (1, -1) and (-1, 1) lie in the same quadrant.

26.

Find the perpendicular distance of the point P(7,5) from the Y-axis

27.

Find the point, whose ordinate is -3 and which lies on Y-axis

28.

If the perpendicular distance of a point P from the X-axis is 5 units and the foot of perpendicular lies on the negative direction of X-axis, then find the y-coordinate of P.

29.

If(x + 2, 4) = (5, Y - 2), then find the coordinates (x, y).

30.

In which quadrants, the abscissa of a point is negative?

31.

In which quadrants do the given points lie?
(i) (4, -2)
(ii) (-3, 7)
(iii) (-1, -2)
(iv) (3, 6)

32.

In which quadrant or on which axis each of the following points lie?
(-3,5). (4, -1). (2, 0). (2, 2). (-3, - 6)

33.

In the given figure, LM is a line parallel to the Y-axis at a distance of 3 units.

(i) What are the coordinates of the points P,R and Q ?
(ii) What is the difference between the abscissa of the points L and M ?

34.

A point lies on X-axis at a distance of 9 units from Y-axis. What are its coordinates? What will be the coordinates of a point, if it lies on Y-axis at a distance of 9 units from X-axis in negative direction?

Assertion and reason

6 x 1 = 6

35.

Assertion: A point whose abscissa is 2 and ordinate is -3 lies in fourth quadrant
Reason: Points of the type (–, +) lie in the second quadrant.
Codes:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

36.

Assertion: A point whose abscissa is -3 and ordinate is 2 lies in second quadrant
Reason: Points of the type (–, +) lie in the second quadrant.
Codes:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

37.

Assertion: The perpendicular distance of the point A(3, 4) from the y-axis is 4
Reason: The perpendicular distance of a point from y-axis is called its x-coordinate.
Codes:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

38.

Assertion : The points (-1, 2) and (2,- 1) are at different positions in the coordinate plane.
Reason : Point (-1, 2) lies in II-quadrant and (2,- 1) lies in IV quadrant
Codes:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

39.

Assertion : The point (-2, 0) lies on y -axis and (0, 4) on x -axis.
Reason : Every point on the x -axis has zero distance from x -axis and every point on the y -axis has zero distance from y -axis.
Codes:
(a) Both assertion (A) and reason (R) are true and reason(R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

40.

Assertion : The point (0, 4) lies on y -axis.
Reason : The x co-ordinate on the point on y -axis is zero.
Codes:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

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Answers Key:

Multiple Choice Question

20 x 1 = 20

(d)
3 units

(b)
1

(a)
(1,-3)

(a)
(-2,-2)

(a)
(2,2)

(d)
(3,-9)

(a)
(0,6)

(b)
(0,-3)

10.

(d)
(-3,-3.5)

11.

12.

(a)
(x,0)

13.

(b)
II

14.

15.

(a)
+ve

16.

17.

(a)
x - axis

18.

(b)
IV quadrant

19.

(a)
are perpendicular to each other

20.

1 Marks

14 x 1 = 14

21.

()
II and IV quadrants.

22.

()
(5, 0).

23.

()
The point p(-3, 3) has its abscissa as -3.

24.

()
It lies on the x-axis.

25.

()
Only the statement (i) is true.

26.

()
7 units

27.

()
(0,-3)

28.

()
We know that, the perpendicular distance of a point from the X-axis gives y-coordinate of that point. Here, foot of perpendicular lies on the negative direction of X-axis, so the point lies either in II or III quadrant. Hence, the point P has y-coordinate as 5 or -5.

29.

()
(3,6)

30.

()
II and III quadrants

31.

()
(I) .\(\because \) Points of the type (+, -) lie in IV quadrant. \(\therefore \) The point (4, -2) lies in IV quadrant.
(i/) . \(\because \) Points of the type (-, +) lie in II quadrant. .\(\therefore \) The point (-3, 7) lies in II quadrant.
(iil) .\(\because \) Points of the type (-, -) lie in III quadrant \(\therefore \) The point (-1, -2) lies in III quadrant.
(iv) .\(\because \) Points of the type (+, +) lie in I quadrant. \(\therefore \) The point (3, 6) lies in I quadrant.

32.

()
(i) For point (-3, 5), x-coordinate is negative and y-coordinate is positive, so it lies in II quadrant.
(ii) For point (4, -1), x-coordinate is positive and j-coordinate is negative, so it lies in IV quadrant.
(iii) For point (2, 0), x-coordinate is positive and y-coordinate is zero, so it lies on X-axis.
(iv) For point (2, 2), x-coordinate and y-coordinate both are positive, so it lies in I quadrant.
(v) For point (-3, - 6), x-coordinate and y-coordinate both are negative, so it lies in III quadrant.

33.

()
Given, LM is a line parallel to the Y-axis and its perpendicular distance from Y-axis is 3 units.
(i) Coordinates of point P are (3, 2).
[since, its perpendicular distance from X-axis is 2 units] Coordinates of point Q are (3, -1) [since its perpendicular distance from X-axis is 1, in negative direction of Y-axis]
:coordinatess of point R are (3,0)
[since, it lies on X-axis, so its j-coordinate is zero 1
(ii) Abscissa of point L = 3, abscissa of point M = 3 Difference between the abscissa of points L and M = 3-3 =0

34.

()
We know that, coordinates of any point lies on X-axis at the distance' a' from the Y -axis are (a, 0) and (- a, 0).
Since, the given point lies on X-axis at a distance of9 units from Y-axis, so its coordinates are (9, O)or (- 9, 0).
Now, if point lies on Y-axis at a distance of9 units from X-axis in negative direction, then its coordinates are (0, 9) and (0, - 9).
Note : If direction of the axis is not given, then we take negative as well as positive direction.

Assertion and reason

6 x 1 = 6

35.

We know that Points of the type (–, +) lie in the second quadrant. So, Reason is correct.
Also, we know that Points of the type (+, –) lie in the fourth quadrant.
Hence, point whose abscissa is 2 and ordinate is -3 lies in fourth quadrant So, Assertion is also correct but Reason is the not the correct explanation of Assertion.
Correct option is (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

36.

We know that Points of the type (–, +) lie in the second quadrant.
So, Reason is correct.
Hence, point whose abscissa is -3 and ordinate is 2 lies in second quadrant
So, Assertion is also correct and Reason explains Assertion
Correct option is (a) Both assertion (A) and reason (R) are true and reason(R) is the correct explanation of assertion (A).

37.

We know that the perpendicular distance of a point from y-axis is called its x-coordinate or abscissa.
So, Reason is correct.
The x co-ordinate of the point (3, 4) is 3.
So, Assertion is not correct
Correct option is (d) Assertion (A) is false but reason (R) is true.

38.

We know that Point (-1, 2) lies in II-quadrant and (2,- 1) lies in IV quadrant
So, Reason is correct.
Hence the points (-1, 2) and (2,- 1) are at different positions in the coordinate plane.
So, Assertion is also correct
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

39.

We know that Every point on the x -axis has zero distance from x -axis and every point on the y -axis has zero distance from y -axis.
So, Reason is correct.
Now, point (-2, 0) lies on x-axis and (0, 4) on y-axis So, Assertion is not correct
Correct option is (d) Assertion (A) is false but reason (R) is true.

40.

We know that the if the point lies on y-axis, its x-coordinate is 0.
So, Reason is correct.
The x co-ordinate of the point (0, 4) is zero.
So, Point (0, 4) lies on y -axis.
So, Assertion is also correct
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

CBSE 9th Standard Mathematics Coordinate Geometry Model Questions Papers Study Material - QB365 Set A

QB365 Student Learing Managemnet System

Std: 9th Standard CBSE - Mathematics

chapter: Coordinate Geometry - Model Questions Papers

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Answers Key:

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