CBSE Class 9 Maths Coordinate Geometry Assignment Set A

Question. 7 stalls in an exhibition have to be connected with paths in a way that will allow a visitor to start at stall 1 finish at stall 7, visiting every stall exactly once.If the dots show the stalls and the lines the paths, which network of paths is likely to be preferred?

Answer : C

Question. A part of the real number line is shown. Which of the following points best represents the location of 5.5

(a) A
(b) B
(c) C
(d) D

Answer : C

Question. A lamp post has to be fixed right at the centre of the rectangular lawn shown in the figure.At what distance from a corner should the lamp post be fixed?

(a) 25m
(b) 35m
(c) 50m
(d) 70m

Answer : A

Question. A plane figure can be 'transformed' in different ways. Study the transformations described below and answer the question. A 'translation' slides all the points in a plane figure through the same distance in the same direction. Let horizontal translation be given by 'h' and vertical by 'v'. Consider Figure 1 as the original figure, with h = 0, v = 0.What are the h and v values for the following figure, taking Figure 1 as the reference?

(a) h = -1, v = -1
(b) h = -1, v = 0
(c) h = 0, v = -1
(d) h = 2, v = -1

Answer : B

Question. A plane figure can be 'transformed' in different ways. Study the transformations described below and answer the question. A 'translation' slides all the points in a plane figure through the same distance in the same direction. Let horizontal translation be given by 'h' and vertical by 'v'. Consider Figure 1 as the original figure, with h = 0, v = 0.A 'reflection' flips all the points of a plane over a line, called the 'mirror'. If Figure 1 is reflected using the y-axis as the mirror, it will look like this: If Figure 1 were to be translated to the position h = 0, v = 1, and then reflected using the y-axis as the mirror, what would be the resultant position?

Answer : D

Question. Mrs. Singh and her son start from home in their car. She is on her way to the supermarket. On the way, she stops to drop her son at his drawing class. She drives on to the supermarket, spends some time shopping there and then drives back home. Which of the graphs below correctly describes Mrs. Singh's journey?

Answer : D
 

ASSERTION REASONING QUESTIONS

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R) . Mark the correct choice as:
(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.

Question. 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.
(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.
Answer : 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.

Question. 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.
(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
Answer : 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) .

Question. Assertion: The abscissa of a point (5, 2) is 5.
Reason: The perpendicular distance of a point from y-axis is called its abscissa.
(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.
Answer : 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 (5, 2) is 5.
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) .

Question. Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.
Reason : A point both of whose coordinates are negative will lie in third quadrants.
(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.
Answer : We know that A point both of whose coordinates are negative will lie in third quadrants.
So, Reason is correct.
Also we know that If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the third quadrant.
So, Assertion is not correct
Correct option is (d) Assertion (A) is false but reason (R) is true.

Question. 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.
(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.
Answer : 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) .

Question. Assertion: Point (4, -2) lies in IV quadrant.
Reason: The perpendicular distance of a point from y-axis is called its abscissa.
(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.
Answer : We know that the perpendicular distance of a point from y-axis is called its x-coordinate or abscissa.
So, Reason is correct.
Point (4, -2) lies in IV quadrant.
So, Assertion is also correct but Reason is not the correct explanation of Assertion.
Correct option is (b) Both assertion (A) and reason
(R) are true and reason (R) is not the correct explanation of assertion (A) .

Question. 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.
(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.
Answer : 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.

Question. Assertion : The point (0, 4) lies on y -axis.
Reason : The x co-ordinate on the point on y -axis is zero.
(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.
Answer : 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) .

Question. 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
(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.
Answer : 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) .

Question. Assertion: Point A(-2, -4) lies on III quadrant
Reason: A point both of whose coordinates are negative lies in III quadrant
(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.
Answer : We know that a point both of whose coordinates are negative lies in III quadrant
So, Reason is correct.
Hence, Point A(-2, -4) lies on III 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) .

Coordinate Geometry

Q 1 In which quadrant, the point P(x, y) will lie?, where x is a positive and y is a negative number.

Q 2 Write the name of the point of intersection of coordinate axes.

Q 3 Define quadrant.

Q 4 Write the x-coordinate of a point which lies on y-axis.

Q 5 What is the sign of the x-coordinate of a point in third quadrant.

Q 6 If a point P(2,3) lies in first quadrant then what will be the coordinateof point Q opposite to it in fourth quadrant having equal distant from both the axes ?

Q 7 In the fig. given below, name the point whose abscissa and ordinate both are positive and write the abscissa and ordinate of the point E :

Q 8 Write the answer of each of the following questions:

(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

(ii) Write the coordinates of the point where these two lines (as described above) intersect.

Q 9 A point is at a distance of 4 units from x axis and 5 units from the y axis. Represent the position of the point in the Cartesian plane and also write its Cartesian coordinates.

Q 10 Find the value of x and y if:

1) (x-3, 7) = (5,7)

2) (2,2y-3)=(2,7)

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