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Coordinate Geometry Test - 5

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Coordinate Geometry Test - 5
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  • Question 1
    1 / -0

    If x < 0 and y < 0, then the point (x, y) lies in

    Solution

    Here,x < 0 (i.e, —ve) and y < 0, (i.e, —ve)

    And we know that,co-ordinate of the point in 3rd quadrant is (—,—)i.e, both negative,

    So,the given point will lie in 3rd quadrant.

  • Question 2
    1 / -0

    The points (other than the origin) for which the abscissa is equal to the ordinate lie in

    Solution

    1st and 3rd quadrant,

    For this let's take any example,

    Let's take,

    (2,2)= since both is +ve so it will lie in 1st quadrant.

    (-2,-2)=since both value is —ve so it will lie in 3rd quadrant.

    (0,0)= i.e,origin

    In all the above case we have abscissa and ordinate equal.

  • Question 3
    1 / -0

    The points in which the abscissa and the ordinate have different signs will lie in

    Solution

    In 2nd quadrant and 4th quadrant sign of abscissa and ordinate both is opposite i.e, one is negative and other is positive.

    In 2nd quadrant sign of co-ordinate are (—,+),

    And in 4th quadrant sign of co-ordinate are (+,—)

  • Question 4
    1 / -0

    The perpendicular distance of a point P(3, 8) from x-axis is

    Solution

    Distance of any point from x axis is the y-coordinate of given point,

    So , here since value of y-coordinate is 8

    Hence, distance=8unit

  • Question 5
    1 / -0

    The perpendicular distance of a point Q(4, 7) from y-axis is

    Solution

    Distance of point from y-axis is x -coordinate of given point,

    So,since,value of x-coordinate is 4

    so, distance=4unit 

  • Question 6
    1 / -0

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

    Solution

    In 1st quadrant only the sign of x and y coordinate is +ve. i.e, (+,+)

  • Question 7
    1 / -0

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

    Solution

    In 3rd quadrant sign of both x and y-coordinate  are 

    —ve ,i.e,(-x,-y)

  • Question 8
    1 / -0

    Abscissa of a point is positive in:

    Solution

    Abscissa means x-corrdinate.

    In quadrant I and IV , the value of x is positive. 

    Thus, abscissa of a point is positive in quadrant I and IV. 

  • Question 9
    1 / -0

    Abscissa of a point is negative in

    Solution

    Abscissa x is -ve in 2nd and 3rd quadrant only because,

    Sign of piont in 2nd quadrant is (-,+),

    And in 3rd quadrant it is (— ,—)

  • Question 10
    1 / -0

    Ordinate of a point is positive in

    Solution

    Since,sign of point in 1st quadrant is (+,+),

    And in second quadrant it is (—,+)

    So,Ordinat of a point is +ve only in 1st and 2nd quadrant 

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