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Published on: 29/10/2025
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1.
Plot the point P(2,-6) on graph paper and front it draw PM and PN as perpendiculars to x-axis and y-axis respectively.Write the coordinates of the points M and N.
2.
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)

3.
From the given figure, write
(i) The coordinates of the points B and F
(ii) The abscissae of points A and C
(iii) The ordinates of the points A and C.
(iv) The perpendicular distance of the point G from the x-axis.

4.
The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 3 units.Write the coordinates of the point if it lies in the:
(i) I quadrant
(ii) II quadrant
(iii) III quadrant
(iv) IV quadrant
5.
Find the coordinates of a point:
(i) whose ordinate is 6 and lies on y-axis
(ii) whose abscissa is -3 and lies on x-axis
6.
The lengths of perpendiculars PM and PN drawn from a point P, on x-axis and y-axis are of 3 and 2 units respectively.Find the coordinates of points P,M and N.
7.
In which quadrant do the given point lie? (4,-1)
8.
In which quadrant do the given point lie? (2,2)
9.
In which quadrant do the given point lie? (-3,5)
10.
In which quadrant do the given point lie? (-4,-5)
11.
Points A(5,3), B(-2,3) and D(5,-4) are three vertices of a square ABCD.Plot these points on a graph paper and hence find the coordinates of vertex C.
12.
The are(\(\triangle OAB\)) = area(\(\triangle OPQ\)).Find the ordinate of point A.

13.
Draw a quadrilateral ABCD, whose vertices are A(3,2), B(2,3), C(-4,5), and D(5,-3)
14.
Plot the points P(-1,-1), Q(2,3) and R(8,11).Show that they are collinear.
15.
In which quadrant do the given points lie?(3,-2)
16.
The line of intersection of IV and I quadrants is
x - axis
y - axis
vertical axis
None of these
17.
The line of intersection of I and II quadrants is
x - axis
y - axis
vertical axis
None of these
18.
If x is negative and y is negative, then the point (x,y) lies in
I quadrant
II quadrant
III quadrant
IV quadrant
19.
Which of the following is an example of a geometrical line?
Black Board
Sheet of paper
Meeting place of two walls
Tip of the sharp pencil
20.
The famous mathematician associated with the problem of describing the position of a point in a plane was
Pythagoras
Newton
Euclid
Rene Descartes
1.

2.
(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.
3.
(i) The coordinates of the points B and F are (-5,-4) and (6,0) respectively.
(ii) The abscissae of points D and H are 1 and 0 respectively.
(iv) The ordinates of the points A and C are 1 and 0 respectively.
(iv) The perpendicular distance of the point G from the x-axis is 4 units.
4.
(i) (3,2)
(ii) (-3,2)
(iii) (-3,-2)
(iv)(3,-2)
5.
(i) (0,6)
(ii) (-3,0)
6.
(2,3), (2,0), (0,3)
7.
IV
8.
I
9.
II
10.
III
11.
\(C\rightarrow \left( -2,-4 \right) \)

12.
\(A\rightarrow \left( 3,4 \right) \)
13.

14.

15.
IV
16.
(a)
x - axis
17.
(a)
x - axis
18.
(c)
III quadrant
19.
(c)
Meeting place of two walls
20.
(d)
Rene Descartes
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