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Published on: 03/10/2019
Coordinate Geometry
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Questions + Answers key
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1.
Mark the points (2,2), (2,-2), (-2,-2) and (-2,2) on a graph paper and join these points.Name the figure that you obtain.Also, find the area of the figure so obtained.
2.
Plot the points (2,3), (-2,3), (-2,-3) and (2,-3) on a graph sheet.Join these points.Name the figure obtained.Also, find the area of the figure so obtained.
3.
Three vertices of a square PQRS are P(-4,0), Q(1,0), R(1,-5).Plot the points.Also, find the coordinates of the missing vertex S.
4.
Plot the following points, join them in order and identify the figure thus formed: A(1,3), B(1,-1), C(7,-1) and D(7,3).Write the coordinates of the point of intersection of the diagonals.
5.
Plot the points A(3,0), B(3,3) and C(0,3) in a Cartesian plane.Join OA, OB, BC and CO.Name the figure so formed and write its one property.
6.
Plot the points A, B, C, D from the table:
| Points | A | B | C | D |
|---|---|---|---|---|
| x | 8 | -5 | 13 | -4 |
| y | 10 | 13 | -5 | -16 |
and answer the following:
(a) Write the coordinates of A, B, C, D.
(b) Shade the triangle ABC.
7.
Plot the following points on a graph sheet and join them in order B(-5,3), E(-3,-2), S(4,-2), T(1,3).Also mention the quadrants in which the points lie.
8.
In figure, ABCD is a rectangle with length 6 cm and breadth 3 cm.O is the mid point of AB.Find the coordinates of A, B C and D.

9.
See figure and write the following:
(i) Coordinates of point P
(ii) Abscissa of point Q
(iii) The point identified by the coordinates (-4,4)
(iv) The point identified by the coordinates (-3,-6)

10.
From the given figure, write the points whose
(a) ordinate = 0
(b) abscissa = 0
(c) abscissa = -3
(d) ordinate = 4

1.

The figure we obtained is a square.
Area of the square = (4)2 = 16 square units.
2.

The figure obtained is a rectangle
Area of the rectangle = 4 x 6
=24 square units.
3.

The coordinates of the missing vertex S are (-4,-5)
4.

The figure formed is a rectangle.
The coordinates of the point of intersection E of the diagonals AC and BD are (4,1)
5.

The figure formed is a square.
Its all the sides are of equal length.
6.
(a) The coordinates A, B, C, D are (8,10), (-5,13), (13,5), (-4,-16) respectively.
(b) The triangle ABC has been shaded.

7.

(i) The point B lies in II quadrant.
(ii) The point E lies in III quadrant.
(iii) The point S lies in IV quadrant.
(iv) The point T lies in I quadrant.
8.
\(A\rightarrow \left( -3,0 \right)\)
\(\\ B\rightarrow \left( 3,0 \right)\)
\(\\ C\rightarrow \left( 3,3 \right)\)
\(\\ D\rightarrow \left( -3,3 \right) \)
9.
(i) Coordinates of point P are (0,4)
(ii) Abscissae of point Q is 5.
(iii) The point identified by the coordinates (-4,4) is S.
(iv) The point identified by the coordinates (-3,-6) is R.
10.
(a) The points whose ordinates are O and Q and N.
(b) The points whose abscissae are 0 are T and P.
(c) The points whose abscissae are -3 are Q and R.
(d) The points whose ordinates are 4 are S and L.
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