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Test: Coordinate Geometry - 1 - Class 9 MCQ


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25 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Coordinate Geometry - 1

Test: Coordinate Geometry - 1 for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Coordinate Geometry - 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Coordinate Geometry - 1 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Coordinate Geometry - 1 below.
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Test: Coordinate Geometry - 1 - Question 1

The point A(3, 4) lies in

Detailed Solution for Test: Coordinate Geometry - 1 - Question 1

2. I Quadrant

Explanation:

The point A(3, 4) lies in the I Quadrant because:

  • In the I Quadrant, both the x-coordinate (abscissa) and the y-coordinate (ordinate) are positive.
  • Since 3 (x-coordinate) is positive and 4 (y-coordinate) is also positive, the point lies in the I Quadrant.
Test: Coordinate Geometry - 1 - Question 2

A point both of whose co-ordinates are positive lies in

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Test: Coordinate Geometry - 1 - Question 3

From the given diagram, the coordinates of point P are ______.

Detailed Solution for Test: Coordinate Geometry - 1 - Question 3

We can see in diagram that distance of point P is 2 from y – axis in positive x – axis direction and 3 from x – axis but in negative y – axis direction.
Therefore, x – coordinate and y – coordinate of point p will be 2 and -3 respectively.
Coordinates of any points are shown in (x – coordinate, y – coordinate) form.
Therefore, coordinates of point P are (2, -3).

Test: Coordinate Geometry - 1 - Question 4

The point (7, 0) lies

Detailed Solution for Test: Coordinate Geometry - 1 - Question 4

The point (7,0) lies on the positive direction of the x-axis.

Explanation:

  • The x-coordinate of the point is 7, and the y-coordinate is 0.
  • When the y-coordinate is 0, the point lies on the x-axis.
  • Since the x-coordinate is positive, the point is on the positive direction of the x-axis.

So, the correct answer is:

4. on the positive direction of x-axis

Test: Coordinate Geometry - 1 - Question 5

The point which lies on y-axis at a distance of 6 units in the positive direction of y-axis is

Detailed Solution for Test: Coordinate Geometry - 1 - Question 5
  • A point on the y-axis always has an x-coordinate of 0.
  • Being 6 units in the positive direction means the y-coordinate is +6.
  • Therefore, the correct coordinates are (0, 6).


Answer: c
Test: Coordinate Geometry - 1 - Question 6

The point B(-3, 4) lies in

Detailed Solution for Test: Coordinate Geometry - 1 - Question 6

 


  • In a coordinate plane, the quadrants are defined as follows:

    • I Quadrant: (x > 0, y > 0)

    • II Quadrant: (x < 0, y > 0)

    • III Quadrant: (x < 0, y < 0)

    • IV Quadrant: (x > 0, y < 0)

    •  
  • The point B(-3, 4) has x-coordinate -3 and y-coordinate 4.
  • Since x is negative and y is positive, it lies in the II Quadrant.
Test: Coordinate Geometry - 1 - Question 7

A point both of whose co-ordinates are negative lies in

Test: Coordinate Geometry - 1 - Question 8

A point of the form (0, b) lies on

Detailed Solution for Test: Coordinate Geometry - 1 - Question 8

A point of the form (0,b) lies on the y-axis because the x-coordinate is 0. This means the point is located directly on the y-axis at the value bbb.

Test: Coordinate Geometry - 1 - Question 9

The point (0, -4) lies

Detailed Solution for Test: Coordinate Geometry - 1 - Question 9

- The coordinate point (0, -4) is given.
- The x-coordinate is 0, which means the point is not to the left or right of the origin.
- The y-coordinate is -4, indicating the point is 4 units below the origin.
- Points with x-coordinate 0 lie on the y-axis.
- Thus, the point (0, -4) lies on the y-axis.

The correct answer is B: on y-axis.

Test: Coordinate Geometry - 1 - Question 10

The point which lies on x-axis at a distance of 4 units in the negative direction of x-axis is

Detailed Solution for Test: Coordinate Geometry - 1 - Question 10

To understand this, let's break down the information given:

  1. x-axis: The x-axis is the horizontal line in the coordinate plane. Any point on the x-axis will have a y-coordinate of 0 because it does not move up or down from the axis.

  2. Distance of 4 units in the negative direction of x-axis:

    • The x-axis has a positive direction (towards the right) and a negative direction (towards the left).
    • Moving 4 units in the negative direction means moving 4 units to the left from the origin (0,0).
  3. Coordinates:

    • When you move 4 units to the left on the x-axis, the x-coordinate becomes -4, and since the point is on the x-axis, the y-coordinate remains 0.

Therefore, the point that lies on the x-axis 4 units in the negative direction is (−4,0)(-4, 0)(−4,0).

This corresponds to option (b) (-4, 0).

Test: Coordinate Geometry - 1 - Question 11

The point C(-5, -2) lies in

Test: Coordinate Geometry - 1 - Question 12

Abscissa of a point is positive in

Test: Coordinate Geometry - 1 - Question 13

The co-ordinates of the origin are

Test: Coordinate Geometry - 1 - Question 14

The point (0, 9) lies

Test: Coordinate Geometry - 1 - Question 15

The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is

Test: Coordinate Geometry - 1 - Question 16

The point D(3, -6) lies in

Detailed Solution for Test: Coordinate Geometry - 1 - Question 16

The point D(3, -6) lies in the IV Quadrant.
Explanation: In the Cartesian plane, the X-axis and Y-axis divide the plane into four quadrants. The I Quadrant is where both x and y are positive. The II Quadrant is where x is negative and y is positive. The III Quadrant is where both x and y are negative. The IV Quadrant is where x is positive and y is negative.
The point D(3, -6) has a positive x-coordinate and a negative y-coordinate. Therefore, it lies in the IV Quadrant.

Test: Coordinate Geometry - 1 - Question 17

Abscissa of a point is negative in

Test: Coordinate Geometry - 1 - Question 18

The equation of x-axis is

Test: Coordinate Geometry - 1 - Question 19

Abscissa of all points on the x-axis is

Test: Coordinate Geometry - 1 - Question 20

The points A(-2, 3), B(-2, -4) and C(5, -4) are the vertices of the square ABCD, the n the co-ordinates of the vertex D are

Test: Coordinate Geometry - 1 - Question 21

Find the co-ordinates of the point equidistant from the points A(1, 2), B(3, -4) and C(5, -6).

Detailed Solution for Test: Coordinate Geometry - 1 - Question 21

The given three points are A(1,2) B(3,-4) and C(5,-6).

Let P (x, y) be the point equidistant from these three points.

 

So, PA = PB = PC

⇒ x2 + 1– 2x + y2 + 4 – 4y = x2 + 9 -6x + y2 + 16 + 8y = x 2 + 25– 10x + y2 + 36 + 12y

⇒  – 2x– 4y + 5  = -6x + 8y +25=  – 10x + 12y+61

– 2x– 4y + 5  = -6x + 8y +25

⇒  – 2x– 4y + 5 +6x - 8y -25=0

⇒  4x– 12y -20=0

⇒  x– 3y - 5 =0....(i)

- 2x– 4y + 5  =  – 10x + 12y+61

⇒- 2x– 4y + 5 +10x - 12y-61=0

⇒8x– 16y -56=0

⇒x– 2y -7=0....(ii)

Solving (i) and (ii)

x = 11, y = 2

Thus, the required point is (11, 2)

Test: Coordinate Geometry - 1 - Question 22

Ordinate of a point is positive in

Test: Coordinate Geometry - 1 - Question 23

The equation of y-axis is

Test: Coordinate Geometry - 1 - Question 24

Abscissa of all points on the y-axis is

Test: Coordinate Geometry - 1 - Question 25

If O(0, 0), A(4, 0) and B(0, 5) are the vertices of a triangle, then ΔOAB is

Detailed Solution for Test: Coordinate Geometry - 1 - Question 25

 

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