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What do you mean by abscissa?

Important Questions on Coordinate Geometry

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One set of ordered pair which belongs to a straight line represented by an equation y=2x-1 is ________.
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The area of the triangle formed by the points P(0,1),Q(0,5) and R(3,4) is _____.
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Draw the co-ordinate system on a plane and plot the following points.

L(-2,4), M(5,6), N(-3,-4), P(2,-3), Q(6,-5), S(7,0), T(0,-5)

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If (x+3,5)=(2,2-y) then the values of the x and y respectively are
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State ‘T’ for true and ‘F’ for false.
(i) Origin is the only point which lies on both the axes.
(ii) the point (2,-2) and point (-2,-2) lies in the same quadrant.
(iii) A point lies on y-axis at a distance 2 units from x-axes then it’s coordinates are (2,0).
(iv) Abscissa of a point is positive in I quadrant and also in II quadrant.
  (i) (ii) (iii) (iv)
(A) F T F T
(B) T F F F
(C) F T T F
(D) T F T F
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In the given figure, PQRS is a rhombus whose diagonal PR and QS are along coordinate axis and PR=12 units and QS=6 units. Now, ifT is a point which is 5 spaces right and 2 spaces above S. Find
(i) Sum of abscissae of P and T
(ii) sum of ordinates of Q,R and T
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  (i) (ii)
(A) -1 2
(B) 1 -2
(C) 1 2
(D) -1 -2


 

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Study the graph and answer the following questions.
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Sum of the abscissae of point P and R is ____________.
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Without plotting the points on a graph, state in which quadrant or on which axis do -6, 0 lie.

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The perpendicular distance of the point (-7,8) from the x-axis is _____
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Plot the point x,y given in the following table on the plane, choosing suitable units of distance on the axis.

x -2 -1 0 1 3
y 8 7 -1.25 3 -1
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The linear equation y=2x+3 cuts the y-axis at _____
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Match the following.

Column-I Column-II
(P) The area of OAB with O(0,0)A(4,0) and B(0,8) is (i) 14sq.units
(Q) The area of ABC with A(2,0),B(6,0) and C(4,6) is (ii) 16sq.units
(R) The area of OAB with O(0,0)A(7,0) and B(0,4) is (iii) 12sq.units


 

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See the given figure, and find the coordinates of B.

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2,1 is a point which belongs to the line ______.
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On a graph paper plot the points A3,0B3,3, C0,3. Join A,B and B,C. What is the figure formed?

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The signs of the abscissa and ordinate of a point in the fourth quadrant respectively are ______.
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Some points are shown in the figure:

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With the help of it answer the following question:

Which are the points whose x and y co-ordinates are equal?

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On a graph paper, plot the points A2,3B6,-1 and C0,5. If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.

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What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
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The value of ‘ x’ in the ordered pair (x,-8) if the ordinate of the pair is 4 more than the abscissa is ______.