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Coordinate Geometry Test - 10

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Coordinate Geometry Test - 10
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  • Question 1
    1 / -0

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

    Solution

    Since it lies on y-axis so it's abscissa x will be zero,

     

  • Question 2
    1 / -0

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

    Solution

    Since it lies on x-axis so,ordinate will be zero,

     

  • Question 3
    1 / -0

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

    Solution

    Since it lies on x-axis so ordinate will be zero, because the value of y-coordinate in x-axis is equal to zero.

     

  • Question 4
    1 / -0

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

    Solution

    Let A(—2,3), B(—2,4), C(5,—4) be the three vertices of the square ABCD.

    Clearly, abscissa of D = abscissa of C = 5

    And,ordinate of D = ordinate of A = 3

    So, the coordinates of the 4th vertex of ABCD i.e. D are (5,3).

     

  • Question 5
    1 / -0

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

    Solution

    Since we have a point O(0,0) i.e. origin

    Point A(4,0) whose y-coordinate is zero. So, this point is on x-axis.

    Point B(0,5) whose x-coordinate is zero. So, this point is on y-axis.

    Angle between x-axis (OA) and y-axis (OB) is 90 degrees. Thus, it forms a right triangle.

     

  • Question 6
    1 / -0

    If (x, y) = (y, x), then

    Solution

    If (x,y) = (y,x),

    It means abscissa =ordinate or, x=y

    So,

    X—Y = 0 {since x=y,}

     

  • Question 7
    1 / -0

    x co-ordinate is known as

    Solution

    Any point p in cartesian plane is written as p(x, y)

    x co-ordinate of point p is called abscissa and Y co-ordinate of point p is called ordinate.

     

  • Question 8
    1 / -0

    y co-ordinate is known as

    Solution

    Any point p in cartesian plane is written as p(x, y)

    x co-ordinate of point p is called abscissa and Y co-ordinate of point p is called ordinate.

     

  • Question 9
    1 / -0

    The radius of a circle whose radius is 5 units and whose centre lies on the origin. The co-ordinates of any point lies on the circle and on the y-axis are

    Solution

    Since point lies on y-axis so it can lie in two point one in positive direction and another is negative direction of y-axis 

    So point will be (0,5)or (0,—5)

     

  • Question 10
    1 / -0

    The equation x = 7 in two variables can be written as

    Solution

    The equation x = 7 in two variables can be written as exactly 1.x + 0.y = 7

    because it contain two variable x and y and coefficient of y is zero as there is no term containing y

    in equation x = 7

     

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