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Coordinate Geom...

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  • Question 1
    1 / -0

    The linear equation x = 6 + 2y cuts x-axis at

  • Question 2
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    If a linear equation has solutions (-2, 2), (0, 0) and (2, -2), then it is of the form

  • Question 3
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    The ordered pair (1, 1) is a solution of the equation

  • Question 4
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    If the sum of squares of abscissa and ordinate is 2 and product is 1, then the value of abscissa is

  • Question 5
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    Which of the following statements is correct?

    a) Coordinate axes divide the plane into four equal parts.
    b) Coordinate axes divide the plane into five equal parts.
    c) Coordinate axes divide the plane into two equal parts.
    d) Coordinate axes divide the plane into three equal parts.

  • Question 6
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    What are the respective values of x and y, if (2x - 9, 4) = (3, 6 - 2y)?

  • Question 7
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    What is the value of y in the ordered pair (6, y), if the abscissa of the pair is 2 more than the ordinate?

  • Question 8
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    The point (-2, 4) lies in

  • Question 9
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    The distance from a point to the vertical or y-axis, measured parallel to the horizontal or x-axis is called

  • Question 10
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    If the coordinates of two points are A(6, 7) and B(-3, 4), then (Ordinate of A) - (Ordinate of B) is

  • Question 11
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    The signs of abscissa and ordinate of a point in quadrant III, respectively, are

  • Question 12
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    Two points having different abscissa but same ordinates lie on

  • Question 13
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    Study the graph and answer the question that follows.



    What are the coordinate of point C?

  • Question 14
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    Study the graph and answer the question that follows.



    (Abscissa of A) - (Abscissa of B) is

  • Question 15
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    Study the graph and answer the question that follows.



    The point whose abscissa becomes zero when it is decreased by 2 is

  • Question 16
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    Study the graph and answer the question that follows.


    What is the difference between the ordinates of A and D?


  • Question 17
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    What is the area of the triangle formed by the points A(0, 2), B(0, 8) and C(5, 5)?

  • Question 18
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    The perpendicular distance of (-4, 5) from x-axis is

  • Question 19
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    The point (0, 5) lies

  • Question 20
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    The signs of the abscissa and ordinate of a point in the second quadrant respectively are

  • Question 21
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    State 'T' for true and 'F' for false in the following statements.

    (i) The coordinates of a point lying on x axis at a distance of 3 units from y axis are (3, 0).
    (ii) The ordinate of a point is positive in quadrant 4 and 2.
    (iii) The point (-4, 4) would lie in the 4th quadrant.
    (iv) The vertical (y) value in a pair of coordinates is 'ordinate'.

  • Question 22
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    Fill in the blanks.

    (1) Point X is 4 spaces left and two spaces above the point (3, 2). So, point X lies in quadrant A .
    (2) Point X is 10 spaces right and 8 spaces below the point (-12, 11). So, coordinates of point X are B .
    (3) Point X is 8 spaces left and 4 spaces below the point (10, 1). So, point X lies in quadrant C .
    (4) Point X is 35 spaces right and 25 spaces above the point (-40, -19). So, coordinates of point X are D .

  • Question 23
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    In the given figure, ABCD is a rhombus whose diagonals AC and BD are along coordinate axis, and AC = 10 units and BD = 8 units. Now, if P is a point which is 4 spaces left and 1 space above D, find

    (1) sum of ordinates of B, C and P
    (2) sum of abscissa of A and P

  • Question 24
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    In the given figure, ABCD is a rectangle with its centre at origin, length AB = 10 units, and breadth BC = 6 units.
    Find coordinates of all of its vertices.

  • Question 25
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    Match the following:

    Column - I Column - II
    (X) The area of △OPQ with O(0, 0), P(2, 0) and Q(0, 4) is (1) 15 sq. units
    (Y) The area of △PQR with P(4, 0), Q(6, 0) and R(2, 6) is (2) 4 sq. units
    (Z) The area of △OPQ with O(0, 0), P(5, 0) and Q(0, 6) is (3) 6 sq. units

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